λ
Ratio Atlas
Atlas › Integer Profiles › Node 76,208,120

76,208,120

23 × 5 × 397 × 4799
Abundant Even Composite

76,208,120 factors as 2^3 × 5 × 397 × 4799. Its 32 positive divisors give a proper-divisor sum of 95,727,880, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 397 × 4799
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 171,936,000
Proper Divisor Sum 95,727,880
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #76208101 ← → #76208129

Radix Representation

Decimal 76208120
Binary 100100010101101011111111000 (27 bits)
Octal 0o442553770
Hexadecimal 0x48AD7F8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 397 794 1,588 1,985 3,176 3,970 4,799 7,940 9,598 15,880 19,196 23,995 38,392 47,990 95,980 191,960 1,905,203 3,810,406 7,620,812 9,526,015 15,241,624 19,052,030 38,104,060 76,208,120

Collatz Trajectory (179 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

76,208,120 38,104,060 19,052,030 9,526,015 28,578,046 14,289,023 42,867,070 21,433,535 64,300,606 32,150,303 96,450,910 48,225,455 144,676,366 72,338,183 217,014,550 108,507,275 325,521,826 162,760,913 488,282,740 244,141,370 122,070,685 366,212,056 183,106,028 91,553,014 45,776,507 137,329,522 68,664,761 205,994,284 102,997,142 51,498,571 154,495,714 77,247,857 231,743,572 115,871,786 57,935,893 173,807,680 86,903,840 43,451,920 21,725,960 10,862,980 5,431,490 2,715,745 8,147,236 4,073,618 2,036,809 6,110,428 3,055,214 1,527,607 4,582,822 2,291,411 6,874,234 3,437,117 10,311,352 5,155,676 2,577,838 1,288,919 3,866,758 1,933,379 5,800,138 2,900,069

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #76,208,119 Browse Full Index Next Integer #76,208,121 →