72,480,916

2² × 18120229

72,480,916 factors as 2^2 × 18120229. Its 6 positive divisors give a proper-divisor sum of 54,360,694, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^2 × 18120229

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 126,841,610

Proper Divisor Sum 54,360,694

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #72480893 ← → #72480917

Radix Representation

Decimal	72480916
Binary	100010100011111100010010100 (27 bits)
Octal	0o424374224
Hexadecimal	0x451F894

Divisor Catalog (6)

1 2 4 18,120,229 36,240,458 72,480,916

Collatz Trajectory (215 steps to reach 1)

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

72,480,916 36,240,458 18,120,229 54,360,688 27,180,344 13,590,172 6,795,086 3,397,543 10,192,630 5,096,315 15,288,946 7,644,473 22,933,420 11,466,710 5,733,355 17,200,066 8,600,033 25,800,100 12,900,050 6,450,025 19,350,076 9,675,038 4,837,519 14,512,558 7,256,279 21,768,838 10,884,419 32,653,258 16,326,629 48,979,888 24,489,944 12,244,972 6,122,486 3,061,243 9,183,730 4,591,865 13,775,596 6,887,798 3,443,899 10,331,698 5,165,849 15,497,548 7,748,774 3,874,387 11,623,162 5,811,581 17,434,744 8,717,372 4,358,686 2,179,343 6,538,030 3,269,015 9,807,046 4,903,523 14,710,570 7,355,285 22,065,856 11,032,928 5,516,464 2,758,232

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