12,831,735

3 × 5 × 7 × 122207

12,831,735 factors as 3 × 5 × 7 × 122207. Its 16 positive divisors give a proper-divisor sum of 10,632,201, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 122207

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 23,463,936

Proper Divisor Sum 10,632,201

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #12831701 ← → #12831739

Radix Representation

Decimal	12831735
Binary	110000111100101111110111 (24 bits)
Octal	0o60745767
Hexadecimal	0xC3CBF7

Divisor Catalog (16)

1 3 5 7 15 21 35 105 122,207 366,621 611,035 855,449 1,833,105 2,566,347 4,277,245 12,831,735

Collatz Trajectory (179 steps to reach 1)

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

12,831,735 38,495,206 19,247,603 57,742,810 28,871,405 86,614,216 43,307,108 21,653,554 10,826,777 32,480,332 16,240,166 8,120,083 24,360,250 12,180,125 36,540,376 18,270,188 9,135,094 4,567,547 13,702,642 6,851,321 20,553,964 10,276,982 5,138,491 15,415,474 7,707,737 23,123,212 11,561,606 5,780,803 17,342,410 8,671,205 26,013,616 13,006,808 6,503,404 3,251,702 1,625,851 4,877,554 2,438,777 7,316,332 3,658,166 1,829,083 5,487,250 2,743,625 8,230,876 4,115,438 2,057,719 6,173,158 3,086,579 9,259,738 4,629,869 13,889,608 6,944,804 3,472,402 1,736,201 5,208,604 2,604,302 1,302,151 3,906,454 1,953,227 5,859,682 2,929,841

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