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Atlas › Integer Profiles › Node 15,361,690

15,361,690

2 × 5 × 19 × 233 × 347
Deficient Even Composite

15,361,690 factors as 2 × 5 × 19 × 233 × 347. Its 32 positive divisors give a proper-divisor sum of 13,953,830, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 233 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,315,520
Proper Divisor Sum 13,953,830
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #15361663 ← → #15361699

Radix Representation

Decimal 15361690
Binary 111010100110011010011010 (24 bits)
Octal 0o72463232
Hexadecimal 0xEA669A

Divisor Catalog (32)

1 2 5 10 19 38 95 190 233 347 466 694 1,165 1,735 2,330 3,470 4,427 6,593 8,854 13,186 22,135 32,965 44,270 65,930 80,851 161,702 404,255 808,510 1,536,169 3,072,338 7,680,845 15,361,690

Collatz Trajectory (99 steps to reach 1)

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

15,361,690 7,680,845 23,042,536 11,521,268 5,760,634 2,880,317 8,640,952 4,320,476 2,160,238 1,080,119 3,240,358 1,620,179 4,860,538 2,430,269 7,290,808 3,645,404 1,822,702 911,351 2,734,054 1,367,027 4,101,082 2,050,541 6,151,624 3,075,812 1,537,906 768,953 2,306,860 1,153,430 576,715 1,730,146 865,073 2,595,220 1,297,610 648,805 1,946,416 973,208 486,604 243,302 121,651 364,954 182,477 547,432 273,716 136,858 68,429 205,288 102,644 51,322 25,661 76,984 38,492 19,246 9,623 28,870 14,435 43,306 21,653 64,960 32,480 16,240

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