72,370,144

2⁵ × 7 × 11 × 23 × 1277

72,370,144 factors as 2^5 × 7 × 11 × 23 × 1277. Its 96 positive divisors give a proper-divisor sum of 113,134,112, so this integer is abundant. The Collatz stopping time is 259 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 11 × 23 × 1277

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 185,504,256

Proper Divisor Sum 113,134,112

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #72370079 ← → #72370147

Radix Representation

Decimal	72370144
Binary	100010100000100011111100000 (27 bits)
Octal	0o424043740
Hexadecimal	0x45047E0

Divisor Catalog (60 of 96)

1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 77 88 92 112 154 161 176 184 224 253 308 322 352 368 506 616 644 736 1,012 1,232 1,277 1,288 1,771 2,024 2,464 2,554 2,576 3,542 4,048 5,108 5,152 7,084 8,096 8,939 10,216 14,047 14,168 17,878 20,432 28,094 28,336 29,371 35,756 40,864 56,188

Collatz Trajectory (259 steps to reach 1)

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

72,370,144 36,185,072 18,092,536 9,046,268 4,523,134 2,261,567 6,784,702 3,392,351 10,177,054 5,088,527 15,265,582 7,632,791 22,898,374 11,449,187 34,347,562 17,173,781 51,521,344 25,760,672 12,880,336 6,440,168 3,220,084 1,610,042 805,021 2,415,064 1,207,532 603,766 301,883 905,650 452,825 1,358,476 679,238 339,619 1,018,858 509,429 1,528,288 764,144 382,072 191,036 95,518 47,759 143,278 71,639 214,918 107,459 322,378 161,189 483,568 241,784 120,892 60,446 30,223 90,670 45,335 136,006 68,003 204,010 102,005 306,016 153,008 76,504

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