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Atlas › Integer Profiles › Node 31,258,287

31,258,287

32 × 19 × 53 × 3449
Deficient Odd Composite

31,258,287 factors as 3^2 × 19 × 53 × 3449. Its 24 positive divisors give a proper-divisor sum of 17,179,713, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 53 × 3449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 48,438,000
Proper Divisor Sum 17,179,713
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #31258267 ← → #31258289

Radix Representation

Decimal 31258287
Binary 1110111001111011010101111 (25 bits)
Octal 0o167173257
Hexadecimal 0x1DCF6AF

Divisor Catalog (24)

1 3 9 19 53 57 159 171 477 1,007 3,021 3,449 9,063 10,347 31,041 65,531 182,797 196,593 548,391 589,779 1,645,173 3,473,143 10,419,429 31,258,287

Collatz Trajectory (206 steps to reach 1)

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

31,258,287 93,774,862 46,887,431 140,662,294 70,331,147 210,993,442 105,496,721 316,490,164 158,245,082 79,122,541 237,367,624 118,683,812 59,341,906 29,670,953 89,012,860 44,506,430 22,253,215 66,759,646 33,379,823 100,139,470 50,069,735 150,209,206 75,104,603 225,313,810 112,656,905 337,970,716 168,985,358 84,492,679 253,478,038 126,739,019 380,217,058 190,108,529 570,325,588 285,162,794 142,581,397 427,744,192 213,872,096 106,936,048 53,468,024 26,734,012 13,367,006 6,683,503 20,050,510 10,025,255 30,075,766 15,037,883 45,113,650 22,556,825 67,670,476 33,835,238 16,917,619 50,752,858 25,376,429 76,129,288 38,064,644 19,032,322 9,516,161 28,548,484 14,274,242 7,137,121

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