λ
Ratio Atlas
Atlas › Integer Profiles › Node 25,760,672

25,760,672

25 × 73 × 2347
Abundant Even Composite

25,760,672 factors as 2^5 × 7^3 × 2347. Its 48 positive divisors give a proper-divisor sum of 33,408,928, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2^5 × 7^3 × 2347
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 59,169,600
Proper Divisor Sum 33,408,928
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #25760591 ← → #25760687

Radix Representation

Decimal 25760672
Binary 1100010010001001110100000 (25 bits)
Octal 0o142211640
Hexadecimal 0x18913A0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1,372 1,568 2,347 2,744 4,694 5,488 9,388 10,976 16,429 18,776 32,858 37,552 65,716 75,104 115,003 131,432 230,006 262,864 460,012 525,728 805,021 920,024 1,610,042 1,840,048 3,220,084 3,680,096 6,440,168 12,880,336 25,760,672

Collatz Trajectory (242 steps to reach 1)

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

25,760,672 12,880,336 6,440,168 3,220,084 1,610,042 805,021 2,415,064 1,207,532 603,766 301,883 905,650 452,825 1,358,476 679,238 339,619 1,018,858 509,429 1,528,288 764,144 382,072 191,036 95,518 47,759 143,278 71,639 214,918 107,459 322,378 161,189 483,568 241,784 120,892 60,446 30,223 90,670 45,335 136,006 68,003 204,010 102,005 306,016 153,008 76,504 38,252 19,126 9,563 28,690 14,345 43,036 21,518 10,759 32,278 16,139 48,418 24,209 72,628 36,314 18,157 54,472 27,236

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 #25,760,671 Browse Full Index Next Integer #25,760,673 →