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Atlas › Integer Profiles › Node 17,520,735

17,520,735

3 × 5 × 31 × 41 × 919
Deficient Odd Composite

17,520,735 factors as 3 × 5 × 31 × 41 × 919. Its 32 positive divisors give a proper-divisor sum of 12,154,785, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 41 × 919
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,675,520
Proper Divisor Sum 12,154,785
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #17520731 ← → #17520743

Radix Representation

Decimal 17520735
Binary 1000010110101100001011111 (25 bits)
Octal 0o102654137
Hexadecimal 0x10B585F

Divisor Catalog (32)

1 3 5 15 31 41 93 123 155 205 465 615 919 1,271 2,757 3,813 4,595 6,355 13,785 19,065 28,489 37,679 85,467 113,037 142,445 188,395 427,335 565,185 1,168,049 3,504,147 5,840,245 17,520,735

Collatz Trajectory (200 steps to reach 1)

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

17,520,735 52,562,206 26,281,103 78,843,310 39,421,655 118,264,966 59,132,483 177,397,450 88,698,725 266,096,176 133,048,088 66,524,044 33,262,022 16,631,011 49,893,034 24,946,517 74,839,552 37,419,776 18,709,888 9,354,944 4,677,472 2,338,736 1,169,368 584,684 292,342 146,171 438,514 219,257 657,772 328,886 164,443 493,330 246,665 739,996 369,998 184,999 554,998 277,499 832,498 416,249 1,248,748 624,374 312,187 936,562 468,281 1,404,844 702,422 351,211 1,053,634 526,817 1,580,452 790,226 395,113 1,185,340 592,670 296,335 889,006 444,503 1,333,510 666,755

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