λ
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Atlas › Integer Profiles › Node 17,526,345

17,526,345

3 × 5 × 23 × 37 × 1373
Deficient Odd Composite

17,526,345 factors as 3 × 5 × 23 × 37 × 1373. Its 32 positive divisors give a proper-divisor sum of 12,547,767, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 37 × 1373
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,074,112
Proper Divisor Sum 12,547,767
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #17526343 ← → #17526349

Radix Representation

Decimal 17526345
Binary 1000010110110111001001001 (25 bits)
Octal 0o102667111
Hexadecimal 0x10B6E49

Divisor Catalog (32)

1 3 5 15 23 37 69 111 115 185 345 555 851 1,373 2,553 4,119 4,255 6,865 12,765 20,595 31,579 50,801 94,737 152,403 157,895 254,005 473,685 762,015 1,168,423 3,505,269 5,842,115 17,526,345

Collatz Trajectory (151 steps to reach 1)

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

17,526,345 52,579,036 26,289,518 13,144,759 39,434,278 19,717,139 59,151,418 29,575,709 88,727,128 44,363,564 22,181,782 11,090,891 33,272,674 16,636,337 49,909,012 24,954,506 12,477,253 37,431,760 18,715,880 9,357,940 4,678,970 2,339,485 7,018,456 3,509,228 1,754,614 877,307 2,631,922 1,315,961 3,947,884 1,973,942 986,971 2,960,914 1,480,457 4,441,372 2,220,686 1,110,343 3,331,030 1,665,515 4,996,546 2,498,273 7,494,820 3,747,410 1,873,705 5,621,116 2,810,558 1,405,279 4,215,838 2,107,919 6,323,758 3,161,879 9,485,638 4,742,819 14,228,458 7,114,229 21,342,688 10,671,344 5,335,672 2,667,836 1,333,918 666,959

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