λ
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Atlas › Integer Profiles › Node 17,529,525

17,529,525

32 × 52 × 132 × 461
Deficient Odd Composite

17,529,525 factors as 3^2 × 5^2 × 13^2 × 461. Its 54 positive divisors give a proper-divisor sum of 16,542,513, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 13^2 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 34,072,038
Proper Divisor Sum 16,542,513
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17529511 ← → #17529541

Radix Representation

Decimal 17529525
Binary 1000010110111101010110101 (25 bits)
Octal 0o102675265
Hexadecimal 0x10B7AB5

Divisor Catalog (54)

1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 461 507 585 845 975 1,383 1,521 2,305 2,535 2,925 4,149 4,225 5,993 6,915 7,605 11,525 12,675 17,979 20,745 29,965 34,575 38,025 53,937 77,909 89,895 103,725 149,825 233,727 269,685 389,545 449,475 701,181 1,168,635 1,348,425 1,947,725 3,505,905 5,843,175 17,529,525

Collatz Trajectory (169 steps to reach 1)

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

17,529,525 52,588,576 26,294,288 13,147,144 6,573,572 3,286,786 1,643,393 4,930,180 2,465,090 1,232,545 3,697,636 1,848,818 924,409 2,773,228 1,386,614 693,307 2,079,922 1,039,961 3,119,884 1,559,942 779,971 2,339,914 1,169,957 3,509,872 1,754,936 877,468 438,734 219,367 658,102 329,051 987,154 493,577 1,480,732 740,366 370,183 1,110,550 555,275 1,665,826 832,913 2,498,740 1,249,370 624,685 1,874,056 937,028 468,514 234,257 702,772 351,386 175,693 527,080 263,540 131,770 65,885 197,656 98,828 49,414 24,707 74,122 37,061 111,184

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