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Atlas › Integer Profiles › Node 17,564,949

17,564,949

32 × 19 × 59 × 1741
Deficient Odd Composite

17,564,949 factors as 3^2 × 19 × 59 × 1741. Its 24 positive divisors give a proper-divisor sum of 9,610,251, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 59 × 1741
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 27,175,200
Proper Divisor Sum 9,610,251
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #17564947 ← → #17564959

Radix Representation

Decimal 17564949
Binary 1000011000000010100010101 (25 bits)
Octal 0o103002425
Hexadecimal 0x10C0515

Divisor Catalog (24)

1 3 9 19 57 59 171 177 531 1,121 1,741 3,363 5,223 10,089 15,669 33,079 99,237 102,719 297,711 308,157 924,471 1,951,661 5,854,983 17,564,949

Collatz Trajectory (125 steps to reach 1)

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

17,564,949 52,694,848 26,347,424 13,173,712 6,586,856 3,293,428 1,646,714 823,357 2,470,072 1,235,036 617,518 308,759 926,278 463,139 1,389,418 694,709 2,084,128 1,042,064 521,032 260,516 130,258 65,129 195,388 97,694 48,847 146,542 73,271 219,814 109,907 329,722 164,861 494,584 247,292 123,646 61,823 185,470 92,735 278,206 139,103 417,310 208,655 625,966 312,983 938,950 469,475 1,408,426 704,213 2,112,640 1,056,320 528,160 264,080 132,040 66,020 33,010 16,505 49,516 24,758 12,379 37,138 18,569

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