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Atlas › Integer Profiles › Node 17,664,490

17,664,490

2 × 5 × 19 × 239 × 389
Deficient Even Composite

17,664,490 factors as 2 × 5 × 19 × 239 × 389. Its 32 positive divisors give a proper-divisor sum of 16,031,510, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 239 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 33,696,000
Proper Divisor Sum 16,031,510
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #17664487 ← → #17664539

Radix Representation

Decimal 17664490
Binary 1000011011000100111101010 (25 bits)
Octal 0o103304752
Hexadecimal 0x10D89EA

Divisor Catalog (32)

1 2 5 10 19 38 95 190 239 389 478 778 1,195 1,945 2,390 3,890 4,541 7,391 9,082 14,782 22,705 36,955 45,410 73,910 92,971 185,942 464,855 929,710 1,766,449 3,532,898 8,832,245 17,664,490

Collatz Trajectory (151 steps to reach 1)

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

17,664,490 8,832,245 26,496,736 13,248,368 6,624,184 3,312,092 1,656,046 828,023 2,484,070 1,242,035 3,726,106 1,863,053 5,589,160 2,794,580 1,397,290 698,645 2,095,936 1,047,968 523,984 261,992 130,996 65,498 32,749 98,248 49,124 24,562 12,281 36,844 18,422 9,211 27,634 13,817 41,452 20,726 10,363 31,090 15,545 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352 19,676 9,838 4,919 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682

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