λ
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10,051,185

3 × 5 × 47 × 53 × 269
Deficient Odd Composite

10,051,185 factors as 3 × 5 × 47 × 53 × 269. Its 32 positive divisors give a proper-divisor sum of 6,744,975, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 3 × 5 × 47 × 53 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,796,160
Proper Divisor Sum 6,744,975
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #10051177 ← → #10051187

Radix Representation

Decimal 10051185
Binary 100110010101111001110001 (24 bits)
Octal 0o46257161
Hexadecimal 0x995E71

Divisor Catalog (32)

1 3 5 15 47 53 141 159 235 265 269 705 795 807 1,345 2,491 4,035 7,473 12,455 12,643 14,257 37,365 37,929 42,771 63,215 71,285 189,645 213,855 670,079 2,010,237 3,350,395 10,051,185

Collatz Trajectory (114 steps to reach 1)

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

10,051,185 30,153,556 15,076,778 7,538,389 22,615,168 11,307,584 5,653,792 2,826,896 1,413,448 706,724 353,362 176,681 530,044 265,022 132,511 397,534 198,767 596,302 298,151 894,454 447,227 1,341,682 670,841 2,012,524 1,006,262 503,131 1,509,394 754,697 2,264,092 1,132,046 566,023 1,698,070 849,035 2,547,106 1,273,553 3,820,660 1,910,330 955,165 2,865,496 1,432,748 716,374 358,187 1,074,562 537,281 1,611,844 805,922 402,961 1,208,884 604,442 302,221 906,664 453,332 226,666 113,333 340,000 170,000 85,000 42,500 21,250 10,625

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