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Atlas › Integer Profiles › Node 72,425,150

72,425,150

2 × 52 × 7 × 19 × 10891
Abundant Even Composite

72,425,150 factors as 2 × 5^2 × 7 × 19 × 10891. Its 48 positive divisors give a proper-divisor sum of 89,647,810, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 19 × 10891
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 162,072,960
Proper Divisor Sum 89,647,810
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #72425123 ← → #72425153

Radix Representation

Decimal 72425150
Binary 100010100010001111010111110 (27 bits)
Octal 0o424217276
Hexadecimal 0x4511EBE

Divisor Catalog (48)

1 2 5 7 10 14 19 25 35 38 50 70 95 133 175 190 266 350 475 665 950 1,330 3,325 6,650 10,891 21,782 54,455 76,237 108,910 152,474 206,929 272,275 381,185 413,858 544,550 762,370 1,034,645 1,448,503 1,905,925 2,069,290 2,897,006 3,811,850 5,173,225 7,242,515 10,346,450 14,485,030 36,212,575 72,425,150

Collatz Trajectory (135 steps to reach 1)

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

72,425,150 36,212,575 108,637,726 54,318,863 162,956,590 81,478,295 244,434,886 122,217,443 366,652,330 183,326,165 549,978,496 274,989,248 137,494,624 68,747,312 34,373,656 17,186,828 8,593,414 4,296,707 12,890,122 6,445,061 19,335,184 9,667,592 4,833,796 2,416,898 1,208,449 3,625,348 1,812,674 906,337 2,719,012 1,359,506 679,753 2,039,260 1,019,630 509,815 1,529,446 764,723 2,294,170 1,147,085 3,441,256 1,720,628 860,314 430,157 1,290,472 645,236 322,618 161,309 483,928 241,964 120,982 60,491 181,474 90,737 272,212 136,106 68,053 204,160 102,080 51,040 25,520 12,760

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