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Atlas › Integer Profiles › Node 17,496,622

17,496,622

2 × 11 × 13 × 131 × 467
Deficient Even Composite

17,496,622 factors as 2 × 11 × 13 × 131 × 467. Its 32 positive divisors give a proper-divisor sum of 13,638,482, so this integer is deficient. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 131 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 31,135,104
Proper Divisor Sum 13,638,482
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #17496613 ← → #17496637

Radix Representation

Decimal 17496622
Binary 1000010101111101000101110 (25 bits)
Octal 0o102575056
Hexadecimal 0x10AFA2E

Divisor Catalog (32)

1 2 11 13 22 26 131 143 262 286 467 934 1,441 1,703 2,882 3,406 5,137 6,071 10,274 12,142 18,733 37,466 61,177 66,781 122,354 133,562 672,947 795,301 1,345,894 1,590,602 8,748,311 17,496,622

Collatz Trajectory (244 steps to reach 1)

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

17,496,622 8,748,311 26,244,934 13,122,467 39,367,402 19,683,701 59,051,104 29,525,552 14,762,776 7,381,388 3,690,694 1,845,347 5,536,042 2,768,021 8,304,064 4,152,032 2,076,016 1,038,008 519,004 259,502 129,751 389,254 194,627 583,882 291,941 875,824 437,912 218,956 109,478 54,739 164,218 82,109 246,328 123,164 61,582 30,791 92,374 46,187 138,562 69,281 207,844 103,922 51,961 155,884 77,942 38,971 116,914 58,457 175,372 87,686 43,843 131,530 65,765 197,296 98,648 49,324 24,662 12,331 36,994 18,497

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