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Atlas › Integer Profiles › Node 17,431,245

17,431,245

32 × 5 × 13 × 83 × 359
Deficient Odd Composite

17,431,245 factors as 3^2 × 5 × 13 × 83 × 359. Its 48 positive divisors give a proper-divisor sum of 15,590,835, so this integer is deficient. The Collatz stopping time is 275 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 83 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 33,022,080
Proper Divisor Sum 15,590,835
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #17431243 ← → #17431247

Radix Representation

Decimal 17431245
Binary 1000010011111101011001101 (25 bits)
Octal 0o102375315
Hexadecimal 0x109FACD

Divisor Catalog (48)

1 3 5 9 13 15 39 45 65 83 117 195 249 359 415 585 747 1,077 1,079 1,245 1,795 3,231 3,237 3,735 4,667 5,385 5,395 9,711 14,001 16,155 16,185 23,335 29,797 42,003 48,555 70,005 89,391 148,985 210,015 268,173 387,361 446,955 1,162,083 1,340,865 1,936,805 3,486,249 5,810,415 17,431,245

Collatz Trajectory (275 steps to reach 1)

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

17,431,245 52,293,736 26,146,868 13,073,434 6,536,717 19,610,152 9,805,076 4,902,538 2,451,269 7,353,808 3,676,904 1,838,452 919,226 459,613 1,378,840 689,420 344,710 172,355 517,066 258,533 775,600 387,800 193,900 96,950 48,475 145,426 72,713 218,140 109,070 54,535 163,606 81,803 245,410 122,705 368,116 184,058 92,029 276,088 138,044 69,022 34,511 103,534 51,767 155,302 77,651 232,954 116,477 349,432 174,716 87,358 43,679 131,038 65,519 196,558 98,279 294,838 147,419 442,258 221,129 663,388

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