λ
Integer Codex

5,837,157

33 × 37 × 5843
Deficient Odd Composite

For 5,837,157, the 16 positive divisors have a total of 8,882,880. Removing 5,837,157 leaves 3,045,723, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 37 × 5843
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,882,880
Proper Divisor Sum 3,045,723
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5837131 ← → #5837173

Radix Representation

Decimal 5837157
Binary 10110010001000101100101 (23 bits)
Octal 0o26210545
Hexadecimal 0x591165

Divisor Catalog (16)

1 3 9 27 37 111 333 999 5,843 17,529 52,587 157,761 216,191 648,573 1,945,719 5,837,157

Collatz Trajectory (170 steps to reach 1)

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

5,837,157 17,511,472 8,755,736 4,377,868 2,188,934 1,094,467 3,283,402 1,641,701 4,925,104 2,462,552 1,231,276 615,638 307,819 923,458 461,729 1,385,188 692,594 346,297 1,038,892 519,446 259,723 779,170 389,585 1,168,756 584,378 292,189 876,568 438,284 219,142 109,571 328,714 164,357 493,072 246,536 123,268 61,634 30,817 92,452 46,226 23,113 69,340 34,670 17,335 52,006 26,003 78,010 39,005 117,016 58,508 29,254 14,627 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172

More profiles

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