λ
Integer Codex

6,170,835

3 × 5 × 11 × 149 × 251
Deficient Odd Composite

For 6,170,835, the 32 positive divisors have a total of 10,886,400. Removing 6,170,835 leaves 4,715,565, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 149 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,886,400
Proper Divisor Sum 4,715,565
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6170819 ← → #6170837

Radix Representation

Decimal 6170835
Binary 10111100010100011010011 (23 bits)
Octal 0o27424323
Hexadecimal 0x5E28D3

Divisor Catalog (32)

1 3 5 11 15 33 55 149 165 251 447 745 753 1,255 1,639 2,235 2,761 3,765 4,917 8,195 8,283 13,805 24,585 37,399 41,415 112,197 186,995 411,389 560,985 1,234,167 2,056,945 6,170,835

Collatz Trajectory (139 steps to reach 1)

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

6,170,835 18,512,506 9,256,253 27,768,760 13,884,380 6,942,190 3,471,095 10,413,286 5,206,643 15,619,930 7,809,965 23,429,896 11,714,948 5,857,474 2,928,737 8,786,212 4,393,106 2,196,553 6,589,660 3,294,830 1,647,415 4,942,246 2,471,123 7,413,370 3,706,685 11,120,056 5,560,028 2,780,014 1,390,007 4,170,022 2,085,011 6,255,034 3,127,517 9,382,552 4,691,276 2,345,638 1,172,819 3,518,458 1,759,229 5,277,688 2,638,844 1,319,422 659,711 1,979,134 989,567 2,968,702 1,484,351 4,453,054 2,226,527 6,679,582 3,339,791 10,019,374 5,009,687 15,029,062 7,514,531 22,543,594 11,271,797 33,815,392 16,907,696 8,453,848

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