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Atlas › Integer Profiles › Node 12,374,901

12,374,901

32 × 72 × 11 × 2551
Deficient Odd Composite

12,374,901 factors as 3^2 × 7^2 × 11 × 2551. Its 36 positive divisors give a proper-divisor sum of 10,317,483, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 11 × 2551
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 22,692,384
Proper Divisor Sum 10,317,483
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #12374899 ← → #12374951

Radix Representation

Decimal 12374901
Binary 101111001101001101110101 (24 bits)
Octal 0o57151565
Hexadecimal 0xBCD375

Divisor Catalog (36)

1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1,617 2,551 4,851 7,653 17,857 22,959 28,061 53,571 84,183 124,999 160,713 196,427 252,549 374,997 589,281 1,124,991 1,374,989 1,767,843 4,124,967 12,374,901

Collatz Trajectory (104 steps to reach 1)

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

12,374,901 37,124,704 18,562,352 9,281,176 4,640,588 2,320,294 1,160,147 3,480,442 1,740,221 5,220,664 2,610,332 1,305,166 652,583 1,957,750 978,875 2,936,626 1,468,313 4,404,940 2,202,470 1,101,235 3,303,706 1,651,853 4,955,560 2,477,780 1,238,890 619,445 1,858,336 929,168 464,584 232,292 116,146 58,073 174,220 87,110 43,555 130,666 65,333 196,000 98,000 49,000 24,500 12,250 6,125 18,376 9,188 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182

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