λ
Ratio Atlas

42,151,103

31 × 37 × 36749
Deficient Odd Composite

42,151,103 factors as 31 × 37 × 36749. Its 8 positive divisors give a proper-divisor sum of 2,536,897, so this integer is deficient. The Collatz stopping time is 310 steps.

Prime Factor Structure

Factorization String 31 × 37 × 36749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 44,688,000
Proper Divisor Sum 2,536,897
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #42151097 ← → #42151117

Radix Representation

Decimal 42151103
Binary 10100000110010110010111111 (26 bits)
Octal 0o240626277
Hexadecimal 0x2832CBF

Divisor Catalog (8)

Collatz Trajectory (310 steps to reach 1)

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

42,151,103 126,453,310 63,226,655 189,679,966 94,839,983 284,519,950 142,259,975 426,779,926 213,389,963 640,169,890 320,084,945 960,254,836 480,127,418 240,063,709 720,191,128 360,095,564 180,047,782 90,023,891 270,071,674 135,035,837 405,107,512 202,553,756 101,276,878 50,638,439 151,915,318 75,957,659 227,872,978 113,936,489 341,809,468 170,904,734 85,452,367 256,357,102 128,178,551 384,535,654 192,267,827 576,803,482 288,401,741 865,205,224 432,602,612 216,301,306 108,150,653 324,451,960 162,225,980 81,112,990 40,556,495 121,669,486 60,834,743 182,504,230 91,252,115 273,756,346 136,878,173 410,634,520 205,317,260 102,658,630 51,329,315 153,987,946 76,993,973 230,981,920 115,490,960 57,745,480

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