17,530,992

2⁴ × 3⁸ × 167

17,530,992 factors as 2^4 × 3^8 × 167. Its 90 positive divisors give a proper-divisor sum of 33,720,936, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^4 × 3^8 × 167

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 51,251,928

Proper Divisor Sum 33,720,936

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #17530979 ← → #17531009

Radix Representation

Decimal	17530992
Binary	1000010111000000001110000 (25 bits)
Octal	0o102700160
Hexadecimal	0x10B8070

Divisor Catalog (60 of 90)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 167 216 243 324 334 432 486 501 648 668 729 972 1,002 1,296 1,336 1,458 1,503 1,944 2,004 2,187 2,672 2,916 3,006 3,888 4,008 4,374 4,509 5,832 6,012 6,561 8,016 8,748 9,018 11,664 12,024 13,122 13,527 17,496 18,036 24,048

Collatz Trajectory (169 steps to reach 1)

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

17,530,992 8,765,496 4,382,748 2,191,374 1,095,687 3,287,062 1,643,531 4,930,594 2,465,297 7,395,892 3,697,946 1,848,973 5,546,920 2,773,460 1,386,730 693,365 2,080,096 1,040,048 520,024 260,012 130,006 65,003 195,010 97,505 292,516 146,258 73,129 219,388 109,694 54,847 164,542 82,271 246,814 123,407 370,222 185,111 555,334 277,667 833,002 416,501 1,249,504 624,752 312,376 156,188 78,094 39,047 117,142 58,571 175,714 87,857 263,572 131,786 65,893 197,680 98,840 49,420 24,710 12,355 37,066 18,533

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