12,972,016

2⁴ × 61 × 13291

12,972,016 factors as 2^4 × 61 × 13291. Its 20 positive divisors give a proper-divisor sum of 12,575,208, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^4 × 61 × 13291

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 25,547,224

Proper Divisor Sum 12,575,208

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #12972007 ← → #12972067

Radix Representation

Decimal	12972016
Binary	110001011110111111110000 (24 bits)
Octal	0o61367760
Hexadecimal	0xC5EFF0

Divisor Catalog (20)

Collatz Trajectory (117 steps to reach 1)

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

12,972,016 6,486,008 3,243,004 1,621,502 810,751 2,432,254 1,216,127 3,648,382 1,824,191 5,472,574 2,736,287 8,208,862 4,104,431 12,313,294 6,156,647 18,469,942 9,234,971 27,704,914 13,852,457 41,557,372 20,778,686 10,389,343 31,168,030 15,584,015 46,752,046 23,376,023 70,128,070 35,064,035 105,192,106 52,596,053 157,788,160 78,894,080 39,447,040 19,723,520 9,861,760 4,930,880 2,465,440 1,232,720 616,360 308,180 154,090 77,045 231,136 115,568 57,784 28,892 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715

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