λ
Ratio Atlas

18,210,311

72 × 371639
Deficient Odd Composite

18,210,311 factors as 7^2 × 371639. Its 6 positive divisors give a proper-divisor sum of 2,973,169, so this integer is deficient. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 7^2 × 371639
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 21,183,480
Proper Divisor Sum 2,973,169
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #18210307 ← → #18210317

Radix Representation

Decimal 18210311
Binary 1000101011101111000000111 (25 bits)
Octal 0o105357007
Hexadecimal 0x115DE07

Divisor Catalog (6)

Collatz Trajectory (244 steps to reach 1)

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

18,210,311 54,630,934 27,315,467 81,946,402 40,973,201 122,919,604 61,459,802 30,729,901 92,189,704 46,094,852 23,047,426 11,523,713 34,571,140 17,285,570 8,642,785 25,928,356 12,964,178 6,482,089 19,446,268 9,723,134 4,861,567 14,584,702 7,292,351 21,877,054 10,938,527 32,815,582 16,407,791 49,223,374 24,611,687 73,835,062 36,917,531 110,752,594 55,376,297 166,128,892 83,064,446 41,532,223 124,596,670 62,298,335 186,895,006 93,447,503 280,342,510 140,171,255 420,513,766 210,256,883 630,770,650 315,385,325 946,155,976 473,077,988 236,538,994 118,269,497 354,808,492 177,404,246 88,702,123 266,106,370 133,053,185 399,159,556 199,579,778 99,789,889 299,369,668 149,684,834

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