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Atlas › Integer Profiles › Node 12,831,742

12,831,742

2 × 7 × 11 × 97 × 859
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 11 × 97 × 859
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,272,640
Proper Divisor Sum 11,440,898
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #12831739 ← → #12831743

Radix Representation

Decimal 12831742
Binary 110000111100101111111110 (24 bits)
Octal 0o60745776
Hexadecimal 0xC3CBFE

Divisor Catalog (32)

1 2 7 11 14 22 77 97 154 194 679 859 1,067 1,358 1,718 2,134 6,013 7,469 9,449 12,026 14,938 18,898 66,143 83,323 132,286 166,646 583,261 916,553 1,166,522 1,833,106 6,415,871 12,831,742

Collatz Trajectory (148 steps to reach 1)

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

12,831,742 6,415,871 19,247,614 9,623,807 28,871,422 14,435,711 43,307,134 21,653,567 64,960,702 32,480,351 97,441,054 48,720,527 146,161,582 73,080,791 219,242,374 109,621,187 328,863,562 164,431,781 493,295,344 246,647,672 123,323,836 61,661,918 30,830,959 92,492,878 46,246,439 138,739,318 69,369,659 208,108,978 104,054,489 312,163,468 156,081,734 78,040,867 234,122,602 117,061,301 351,183,904 175,591,952 87,795,976 43,897,988 21,948,994 10,974,497 32,923,492 16,461,746 8,230,873 24,692,620 12,346,310 6,173,155 18,519,466 9,259,733 27,779,200 13,889,600 6,944,800 3,472,400 1,736,200 868,100 434,050 217,025 651,076 325,538 162,769 488,308

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