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Atlas › Integer Profiles › Node 38,199,032

38,199,032

23 × 29 × 229 × 719
Deficient Even Composite

38,199,032 factors as 2^3 × 29 × 229 × 719. Its 32 positive divisors give a proper-divisor sum of 36,320,968, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 229 × 719
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 74,520,000
Proper Divisor Sum 36,320,968
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #38199013 ← → #38199041

Radix Representation

Decimal 38199032
Binary 10010001101101111011111000 (26 bits)
Octal 0o221557370
Hexadecimal 0x246DEF8

Divisor Catalog (32)

1 2 4 8 29 58 116 229 232 458 719 916 1,438 1,832 2,876 5,752 6,641 13,282 20,851 26,564 41,702 53,128 83,404 164,651 166,808 329,302 658,604 1,317,208 4,774,879 9,549,758 19,099,516 38,199,032

Collatz Trajectory (103 steps to reach 1)

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

38,199,032 19,099,516 9,549,758 4,774,879 14,324,638 7,162,319 21,486,958 10,743,479 32,230,438 16,115,219 48,345,658 24,172,829 72,518,488 36,259,244 18,129,622 9,064,811 27,194,434 13,597,217 40,791,652 20,395,826 10,197,913 30,593,740 15,296,870 7,648,435 22,945,306 11,472,653 34,417,960 17,208,980 8,604,490 4,302,245 12,906,736 6,453,368 3,226,684 1,613,342 806,671 2,420,014 1,210,007 3,630,022 1,815,011 5,445,034 2,722,517 8,167,552 4,083,776 2,041,888 1,020,944 510,472 255,236 127,618 63,809 191,428 95,714 47,857 143,572 71,786 35,893 107,680 53,840 26,920 13,460 6,730

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