λ
Ratio Atlas

40,973,201

29 × 317 × 4457
Deficient Odd Composite

40,973,201 factors as 29 × 317 × 4457. Its 8 positive divisors give a proper-divisor sum of 1,556,119, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 29 × 317 × 4457
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 42,529,320
Proper Divisor Sum 1,556,119
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #40973173 ← → #40973203

Radix Representation

Decimal 40973201
Binary 10011100010011001110010001 (26 bits)
Octal 0o234231621
Hexadecimal 0x2713391

Divisor Catalog (8)

Collatz Trajectory (240 steps to reach 1)

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

40,973,201 122,919,604 61,459,802 30,729,901 92,189,704 46,094,852 23,047,426 11,523,713 34,571,140 17,285,570 8,642,785 25,928,356 12,964,178 6,482,089 19,446,268 9,723,134 4,861,567 14,584,702 7,292,351 21,877,054 10,938,527 32,815,582 16,407,791 49,223,374 24,611,687 73,835,062 36,917,531 110,752,594 55,376,297 166,128,892 83,064,446 41,532,223 124,596,670 62,298,335 186,895,006 93,447,503 280,342,510 140,171,255 420,513,766 210,256,883 630,770,650 315,385,325 946,155,976 473,077,988 236,538,994 118,269,497 354,808,492 177,404,246 88,702,123 266,106,370 133,053,185 399,159,556 199,579,778 99,789,889 299,369,668 149,684,834 74,842,417 224,527,252 112,263,626 56,131,813

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