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Atlas › Integer Profiles › Node 17,577,483

17,577,483

3 × 7 × 11 × 47 × 1619
Deficient Odd Composite

17,577,483 factors as 3 × 7 × 11 × 47 × 1619. Its 32 positive divisors give a proper-divisor sum of 12,282,357, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 47 × 1619
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,859,840
Proper Divisor Sum 12,282,357
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #17577481 ← → #17577487

Radix Representation

Decimal 17577483
Binary 1000011000011011000001011 (25 bits)
Octal 0o103033013
Hexadecimal 0x10C360B

Divisor Catalog (32)

1 3 7 11 21 33 47 77 141 231 329 517 987 1,551 1,619 3,619 4,857 10,857 11,333 17,809 33,999 53,427 76,093 124,663 228,279 373,989 532,651 837,023 1,597,953 2,511,069 5,859,161 17,577,483

Collatz Trajectory (182 steps to reach 1)

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

17,577,483 52,732,450 26,366,225 79,098,676 39,549,338 19,774,669 59,324,008 29,662,004 14,831,002 7,415,501 22,246,504 11,123,252 5,561,626 2,780,813 8,342,440 4,171,220 2,085,610 1,042,805 3,128,416 1,564,208 782,104 391,052 195,526 97,763 293,290 146,645 439,936 219,968 109,984 54,992 27,496 13,748 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104

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