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Atlas › Integer Profiles › Node 15,768,207

15,768,207

32 × 7 × 132 × 1481
Deficient Odd Composite

15,768,207 factors as 3^2 × 7 × 13^2 × 1481. Its 36 positive divisors give a proper-divisor sum of 12,437,217, so this integer is deficient. The Collatz stopping time is 368 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 13^2 × 1481
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 28,205,424
Proper Divisor Sum 12,437,217
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #15768191 ← → #15768209

Radix Representation

Decimal 15768207
Binary 111100001001101010001111 (24 bits)
Octal 0o74115217
Hexadecimal 0xF09A8F

Divisor Catalog (36)

1 3 7 9 13 21 39 63 91 117 169 273 507 819 1,183 1,481 1,521 3,549 4,443 10,367 10,647 13,329 19,253 31,101 57,759 93,303 134,771 173,277 250,289 404,313 750,867 1,212,939 1,752,023 2,252,601 5,256,069 15,768,207

Collatz Trajectory (368 steps to reach 1)

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

15,768,207 47,304,622 23,652,311 70,956,934 35,478,467 106,435,402 53,217,701 159,653,104 79,826,552 39,913,276 19,956,638 9,978,319 29,934,958 14,967,479 44,902,438 22,451,219 67,353,658 33,676,829 101,030,488 50,515,244 25,257,622 12,628,811 37,886,434 18,943,217 56,829,652 28,414,826 14,207,413 42,622,240 21,311,120 10,655,560 5,327,780 2,663,890 1,331,945 3,995,836 1,997,918 998,959 2,996,878 1,498,439 4,495,318 2,247,659 6,742,978 3,371,489 10,114,468 5,057,234 2,528,617 7,585,852 3,792,926 1,896,463 5,689,390 2,844,695 8,534,086 4,267,043 12,801,130 6,400,565 19,201,696 9,600,848 4,800,424 2,400,212 1,200,106 600,053

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