72,422,260

2² × 5 × 3621113

72,422,260 factors as 2^2 × 5 × 3621113. Its 12 positive divisors give a proper-divisor sum of 79,664,528, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 3621113

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 152,086,788

Proper Divisor Sum 79,664,528

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #72422179 ← → #72422279

Radix Representation

Decimal	72422260
Binary	100010100010001001101110100 (27 bits)
Octal	0o424211564
Hexadecimal	0x4511374

Divisor Catalog (12)

1 2 4 5 10 20 3,621,113 7,242,226 14,484,452 18,105,565 36,211,130 72,422,260

Collatz Trajectory (91 steps to reach 1)

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

72,422,260 36,211,130 18,105,565 54,316,696 27,158,348 13,579,174 6,789,587 20,368,762 10,184,381 30,553,144 15,276,572 7,638,286 3,819,143 11,457,430 5,728,715 17,186,146 8,593,073 25,779,220 12,889,610 6,444,805 19,334,416 9,667,208 4,833,604 2,416,802 1,208,401 3,625,204 1,812,602 906,301 2,718,904 1,359,452 679,726 339,863 1,019,590 509,795 1,529,386 764,693 2,294,080 1,147,040 573,520 286,760 143,380 71,690 35,845 107,536 53,768 26,884 13,442 6,721 20,164 10,082 5,041 15,124 7,562 3,781 11,344 5,672 2,836 1,418 709 2,128

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