λ
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Atlas › Integer Profiles › Node 31,470,200

31,470,200

23 × 52 × 157351
Abundant Even Composite

31,470,200 factors as 2^3 × 5^2 × 157351. Its 24 positive divisors give a proper-divisor sum of 41,698,480, so this integer is abundant. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 157351
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 73,168,680
Proper Divisor Sum 41,698,480
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #31470199 ← → #31470209

Radix Representation

Decimal 31470200
Binary 1111000000011001001111000 (25 bits)
Octal 0o170031170
Hexadecimal 0x1E03278

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 157,351 314,702 629,404 786,755 1,258,808 1,573,510 3,147,020 3,933,775 6,294,040 7,867,550 15,735,100 31,470,200

Collatz Trajectory (263 steps to reach 1)

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

31,470,200 15,735,100 7,867,550 3,933,775 11,801,326 5,900,663 17,701,990 8,850,995 26,552,986 13,276,493 39,829,480 19,914,740 9,957,370 4,978,685 14,936,056 7,468,028 3,734,014 1,867,007 5,601,022 2,800,511 8,401,534 4,200,767 12,602,302 6,301,151 18,903,454 9,451,727 28,355,182 14,177,591 42,532,774 21,266,387 63,799,162 31,899,581 95,698,744 47,849,372 23,924,686 11,962,343 35,887,030 17,943,515 53,830,546 26,915,273 80,745,820 40,372,910 20,186,455 60,559,366 30,279,683 90,839,050 45,419,525 136,258,576 68,129,288 34,064,644 17,032,322 8,516,161 25,548,484 12,774,242 6,387,121 19,161,364 9,580,682 4,790,341 14,371,024 7,185,512

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