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Atlas › Integer Profiles › Node 40,489,342

40,489,342

2 × 17 × 19 × 233 × 269
Deficient Even Composite

40,489,342 factors as 2 × 17 × 19 × 233 × 269. Its 32 positive divisors give a proper-divisor sum of 27,745,058, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2 × 17 × 19 × 233 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 68,234,400
Proper Divisor Sum 27,745,058
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #40489321 ← → #40489357

Radix Representation

Decimal 40489342
Binary 10011010011101000101111110 (26 bits)
Octal 0o232350576
Hexadecimal 0x269D17E

Divisor Catalog (32)

1 2 17 19 34 38 233 269 323 466 538 646 3,961 4,427 4,573 5,111 7,922 8,854 9,146 10,222 62,677 75,259 86,887 125,354 150,518 173,774 1,065,509 1,190,863 2,131,018 2,381,726 20,244,671 40,489,342

Collatz Trajectory (253 steps to reach 1)

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

40,489,342 20,244,671 60,734,014 30,367,007 91,101,022 45,550,511 136,651,534 68,325,767 204,977,302 102,488,651 307,465,954 153,732,977 461,198,932 230,599,466 115,299,733 345,899,200 172,949,600 86,474,800 43,237,400 21,618,700 10,809,350 5,404,675 16,214,026 8,107,013 24,321,040 12,160,520 6,080,260 3,040,130 1,520,065 4,560,196 2,280,098 1,140,049 3,420,148 1,710,074 855,037 2,565,112 1,282,556 641,278 320,639 961,918 480,959 1,442,878 721,439 2,164,318 1,082,159 3,246,478 1,623,239 4,869,718 2,434,859 7,304,578 3,652,289 10,956,868 5,478,434 2,739,217 8,217,652 4,108,826 2,054,413 6,163,240 3,081,620 1,540,810

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