λ
Ratio Atlas

37,101,097

11 × 523 × 6449
Deficient Odd Composite

37,101,097 factors as 11 × 523 × 6449. Its 8 positive divisors give a proper-divisor sum of 3,456,503, so this integer is deficient. The Collatz stopping time is 245 steps.

Prime Factor Structure

Factorization String 11 × 523 × 6449
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 40,557,600
Proper Divisor Sum 3,456,503
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #37101067 ← → #37101101

Radix Representation

Decimal 37101097
Binary 10001101100001111000101001 (26 bits)
Octal 0o215417051
Hexadecimal 0x2361E29

Divisor Catalog (8)

Collatz Trajectory (245 steps to reach 1)

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

37,101,097 111,303,292 55,651,646 27,825,823 83,477,470 41,738,735 125,216,206 62,608,103 187,824,310 93,912,155 281,736,466 140,868,233 422,604,700 211,302,350 105,651,175 316,953,526 158,476,763 475,430,290 237,715,145 713,145,436 356,572,718 178,286,359 534,859,078 267,429,539 802,288,618 401,144,309 1,203,432,928 601,716,464 300,858,232 150,429,116 75,214,558 37,607,279 112,821,838 56,410,919 169,232,758 84,616,379 253,849,138 126,924,569 380,773,708 190,386,854 95,193,427 285,580,282 142,790,141 428,370,424 214,185,212 107,092,606 53,546,303 160,638,910 80,319,455 240,958,366 120,479,183 361,437,550 180,718,775 542,156,326 271,078,163 813,234,490 406,617,245 1,219,851,736 609,925,868 304,962,934

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