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Atlas › Integer Profiles › Node 31,345,720

31,345,720

23 × 5 × 7 × 111949
Abundant Even Composite

31,345,720 factors as 2^3 × 5 × 7 × 111949. Its 32 positive divisors give a proper-divisor sum of 49,258,280, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 111949
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 80,604,000
Proper Divisor Sum 49,258,280
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #31345703 ← → #31345789

Radix Representation

Decimal 31345720
Binary 1110111100100110000111000 (25 bits)
Octal 0o167446070
Hexadecimal 0x1DE4C38

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 111,949 223,898 447,796 559,745 783,643 895,592 1,119,490 1,567,286 2,238,980 3,134,572 3,918,215 4,477,960 6,269,144 7,836,430 15,672,860 31,345,720

Collatz Trajectory (82 steps to reach 1)

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

31,345,720 15,672,860 7,836,430 3,918,215 11,754,646 5,877,323 17,631,970 8,815,985 26,447,956 13,223,978 6,611,989 19,835,968 9,917,984 4,958,992 2,479,496 1,239,748 619,874 309,937 929,812 464,906 232,453 697,360 348,680 174,340 87,170 43,585 130,756 65,378 32,689 98,068 49,034 24,517 73,552 36,776 18,388 9,194 4,597 13,792 6,896 3,448 1,724 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154

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