31,742,450

2 × 5² × 31 × 20479

31,742,450 factors as 2 × 5^2 × 31 × 20479. Its 24 positive divisors give a proper-divisor sum of 29,206,030, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 31 × 20479

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 60,948,480

Proper Divisor Sum 29,206,030

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #31742449 ← → #31742453

Radix Representation

Decimal	31742450
Binary	1111001000101100111110010 (25 bits)
Octal	0o171054762
Hexadecimal	0x1E459F2

Divisor Catalog (24)

Collatz Trajectory (126 steps to reach 1)

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

31,742,450 15,871,225 47,613,676 23,806,838 11,903,419 35,710,258 17,855,129 53,565,388 26,782,694 13,391,347 40,174,042 20,087,021 60,261,064 30,130,532 15,065,266 7,532,633 22,597,900 11,298,950 5,649,475 16,948,426 8,474,213 25,422,640 12,711,320 6,355,660 3,177,830 1,588,915 4,766,746 2,383,373 7,150,120 3,575,060 1,787,530 893,765 2,681,296 1,340,648 670,324 335,162 167,581 502,744 251,372 125,686 62,843 188,530 94,265 282,796 141,398 70,699 212,098 106,049 318,148 159,074 79,537 238,612 119,306 59,653 178,960 89,480 44,740 22,370 11,185 33,556

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