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Atlas › Integer Profiles › Node 17,564,481

17,564,481

32 × 112 × 1272
Deficient Odd Composite Square (√ = 4191)

17,564,481 factors as 3^2 × 11^2 × 127^2. Its 27 positive divisors give a proper-divisor sum of 10,543,872, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 3^2 × 11^2 × 127^2
Distinct Prime Factors 3
Square Status Yes (√17564481 = 4191)
Abundance Measure Deficient

Analytical Properties

Total Divisors 27
Divisor Sum (σ) 28,108,353
Proper Divisor Sum 10,543,872
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17564453 ← → #17564483

Radix Representation

Decimal 17564481
Binary 1000011000000001101000001 (25 bits)
Octal 0o103001501
Hexadecimal 0x10C0341

Divisor Catalog (27)

1 3 9 11 33 99 121 127 363 381 1,089 1,143 1,397 4,191 12,573 15,367 16,129 46,101 48,387 138,303 145,161 177,419 532,257 1,596,771 1,951,609 5,854,827 17,564,481

Collatz Trajectory (125 steps to reach 1)

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

17,564,481 52,693,444 26,346,722 13,173,361 39,520,084 19,760,042 9,880,021 29,640,064 14,820,032 7,410,016 3,705,008 1,852,504 926,252 463,126 231,563 694,690 347,345 1,042,036 521,018 260,509 781,528 390,764 195,382 97,691 293,074 146,537 439,612 219,806 109,903 329,710 164,855 494,566 247,283 741,850 370,925 1,112,776 556,388 278,194 139,097 417,292 208,646 104,323 312,970 156,485 469,456 234,728 117,364 58,682 29,341 88,024 44,012 22,006 11,003 33,010 16,505 49,516 24,758 12,379 37,138 18,569

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