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Atlas › Integer Profiles › Node 12,975,150

12,975,150

2 × 3 × 52 × 86501
Abundant Even Composite

12,975,150 factors as 2 × 3 × 5^2 × 86501. Its 24 positive divisors give a proper-divisor sum of 19,203,594, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 86501
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 32,178,744
Proper Divisor Sum 19,203,594
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #12975139 ← → #12975161

Radix Representation

Decimal 12975150
Binary 110001011111110000101110 (24 bits)
Octal 0o61376056
Hexadecimal 0xC5FC2E

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 86,501 173,002 259,503 432,505 519,006 865,010 1,297,515 2,162,525 2,595,030 4,325,050 6,487,575 12,975,150

Collatz Trajectory (166 steps to reach 1)

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

12,975,150 6,487,575 19,462,726 9,731,363 29,194,090 14,597,045 43,791,136 21,895,568 10,947,784 5,473,892 2,736,946 1,368,473 4,105,420 2,052,710 1,026,355 3,079,066 1,539,533 4,618,600 2,309,300 1,154,650 577,325 1,731,976 865,988 432,994 216,497 649,492 324,746 162,373 487,120 243,560 121,780 60,890 30,445 91,336 45,668 22,834 11,417 34,252 17,126 8,563 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288

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