λ
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Atlas › Integer Profiles › Node 16,337,590

16,337,590

2 × 5 × 23 × 251 × 283
Deficient Even Composite

16,337,590 factors as 2 × 5 × 23 × 251 × 283. Its 32 positive divisors give a proper-divisor sum of 14,579,786, so this integer is deficient. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 251 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,917,376
Proper Divisor Sum 14,579,786
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #16337579 ← → #16337591

Radix Representation

Decimal 16337590
Binary 111110010100101010110110 (24 bits)
Octal 0o76245266
Hexadecimal 0xF94AB6

Divisor Catalog (32)

1 2 5 10 23 46 115 230 251 283 502 566 1,255 1,415 2,510 2,830 5,773 6,509 11,546 13,018 28,865 32,545 57,730 65,090 71,033 142,066 355,165 710,330 1,633,759 3,267,518 8,168,795 16,337,590

Collatz Trajectory (231 steps to reach 1)

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

16,337,590 8,168,795 24,506,386 12,253,193 36,759,580 18,379,790 9,189,895 27,569,686 13,784,843 41,354,530 20,677,265 62,031,796 31,015,898 15,507,949 46,523,848 23,261,924 11,630,962 5,815,481 17,446,444 8,723,222 4,361,611 13,084,834 6,542,417 19,627,252 9,813,626 4,906,813 14,720,440 7,360,220 3,680,110 1,840,055 5,520,166 2,760,083 8,280,250 4,140,125 12,420,376 6,210,188 3,105,094 1,552,547 4,657,642 2,328,821 6,986,464 3,493,232 1,746,616 873,308 436,654 218,327 654,982 327,491 982,474 491,237 1,473,712 736,856 368,428 184,214 92,107 276,322 138,161 414,484 207,242 103,621

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