72,160,448

2⁶ × 1127507

72,160,448 factors as 2^6 × 1127507. Its 14 positive divisors give a proper-divisor sum of 71,033,068, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^6 × 1127507

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 143,193,516

Proper Divisor Sum 71,033,068

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #72160409 ← → #72160457

Radix Representation

Decimal	72160448
Binary	100010011010001010011000000 (27 bits)
Octal	0o423212300
Hexadecimal	0x44D14C0

Divisor Catalog (14)

1 2 4 8 16 32 64 1,127,507 2,255,014 4,510,028 9,020,056 18,040,112 36,080,224 72,160,448

Collatz Trajectory (166 steps to reach 1)

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

72,160,448 36,080,224 18,040,112 9,020,056 4,510,028 2,255,014 1,127,507 3,382,522 1,691,261 5,073,784 2,536,892 1,268,446 634,223 1,902,670 951,335 2,854,006 1,427,003 4,281,010 2,140,505 6,421,516 3,210,758 1,605,379 4,816,138 2,408,069 7,224,208 3,612,104 1,806,052 903,026 451,513 1,354,540 677,270 338,635 1,015,906 507,953 1,523,860 761,930 380,965 1,142,896 571,448 285,724 142,862 71,431 214,294 107,147 321,442 160,721 482,164 241,082 120,541 361,624 180,812 90,406 45,203 135,610 67,805 203,416 101,708 50,854 25,427 76,282

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