λ
Prime Ledger

1,137,879

32 × 232 × 239
Deficient Odd Composite

1,137,879 has the prime decomposition 3^2 × 23^2 × 239. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 23^2 × 239
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 1,725,360
Proper Divisor Sum 587,481
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1137869 ← → #1137881

Radix Representation

Decimal 1137879
Binary 100010101110011010111 (21 bits)
Octal 0o4256327
Hexadecimal 0x115CD7

Divisor Catalog (18)

1 3 9 23 69 207 239 529 717 1,587 2,151 4,761 5,497 16,491 49,473 126,431 379,293 1,137,879

Collatz Trajectory (77 steps to reach 1)

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

1,137,879 3,413,638 1,706,819 5,120,458 2,560,229 7,680,688 3,840,344 1,920,172 960,086 480,043 1,440,130 720,065 2,160,196 1,080,098 540,049 1,620,148 810,074 405,037 1,215,112 607,556 303,778 151,889 455,668 227,834 113,917 341,752 170,876 85,438 42,719 128,158 64,079 192,238 96,119 288,358 144,179 432,538 216,269 648,808 324,404 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204

More profiles

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