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Atlas › Integer Profiles › Node 73,871,440

73,871,440

24 × 5 × 263 × 3511
Abundant Even Composite

73,871,440 factors as 2^4 × 5 × 263 × 3511. Its 40 positive divisors give a proper-divisor sum of 98,581,808, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 263 × 3511
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 172,453,248
Proper Divisor Sum 98,581,808
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #73871431 ← → #73871471

Radix Representation

Decimal 73871440
Binary 100011001110011000001010000 (27 bits)
Octal 0o431630120
Hexadecimal 0x4673050

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 263 526 1,052 1,315 2,104 2,630 3,511 4,208 5,260 7,022 10,520 14,044 17,555 21,040 28,088 35,110 56,176 70,220 140,440 280,880 923,393 1,846,786 3,693,572 4,616,965 7,387,144 9,233,930 14,774,288 18,467,860 36,935,720 73,871,440

Collatz Trajectory (104 steps to reach 1)

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

73,871,440 36,935,720 18,467,860 9,233,930 4,616,965 13,850,896 6,925,448 3,462,724 1,731,362 865,681 2,597,044 1,298,522 649,261 1,947,784 973,892 486,946 243,473 730,420 365,210 182,605 547,816 273,908 136,954 68,477 205,432 102,716 51,358 25,679 77,038 38,519 115,558 57,779 173,338 86,669 260,008 130,004 65,002 32,501 97,504 48,752 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170

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