λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,529,096

17,529,096

23 × 3 × 13 × 19 × 2957
Abundant Even Composite

17,529,096 factors as 2^3 × 3 × 13 × 19 × 2957. Its 64 positive divisors give a proper-divisor sum of 32,165,304, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 19 × 2957
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 49,694,400
Proper Divisor Sum 32,165,304
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #17529089 ← → #17529101

Radix Representation

Decimal 17529096
Binary 1000010110111100100001000 (25 bits)
Octal 0o102674410
Hexadecimal 0x10B7908

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1,482 1,976 2,957 2,964 5,914 5,928 8,871 11,828 17,742 23,656 35,484 38,441 56,183 70,968 76,882 112,366 115,323 153,764 168,549 224,732 230,646 307,528 337,098 449,464 461,292 674,196 730,379 922,584 1,348,392 1,460,758 2,191,137 2,921,516

Collatz Trajectory (120 steps to reach 1)

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

17,529,096 8,764,548 4,382,274 2,191,137 6,573,412 3,286,706 1,643,353 4,930,060 2,465,030 1,232,515 3,697,546 1,848,773 5,546,320 2,773,160 1,386,580 693,290 346,645 1,039,936 519,968 259,984 129,992 64,996 32,498 16,249 48,748 24,374 12,187 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #17,529,095 Browse Full Index Next Integer #17,529,097 →