15,791,020

2² × 5 × 7 × 149 × 757

15,791,020 factors as 2^2 × 5 × 7 × 149 × 757. Its 48 positive divisors give a proper-divisor sum of 22,412,180, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 149 × 757

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 38,203,200

Proper Divisor Sum 22,412,180

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #15790991 ← → #15791023

Radix Representation

Decimal	15791020
Binary	111100001111001110101100 (24 bits)
Octal	0o74171654
Hexadecimal	0xF0F3AC

Divisor Catalog (48)

Collatz Trajectory (125 steps to reach 1)

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

15,791,020 7,895,510 3,947,755 11,843,266 5,921,633 17,764,900 8,882,450 4,441,225 13,323,676 6,661,838 3,330,919 9,992,758 4,996,379 14,989,138 7,494,569 22,483,708 11,241,854 5,620,927 16,862,782 8,431,391 25,294,174 12,647,087 37,941,262 18,970,631 56,911,894 28,455,947 85,367,842 42,683,921 128,051,764 64,025,882 32,012,941 96,038,824 48,019,412 24,009,706 12,004,853 36,014,560 18,007,280 9,003,640 4,501,820 2,250,910 1,125,455 3,376,366 1,688,183 5,064,550 2,532,275 7,596,826 3,798,413 11,395,240 5,697,620 2,848,810 1,424,405 4,273,216 2,136,608 1,068,304 534,152 267,076 133,538 66,769 200,308 100,154

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