392,782

2 × 13 × 15107

392,782 is even and not a perfect square. Its factorization is 2 × 13 × 15107 and its 8 divisors sum to 634,536.

Prime Factor Structure

Factorization String 2 × 13 × 15107

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 634,536

Proper Divisor Sum 241,754

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #392767 ← → #392803

Radix Representation

Decimal	392782
Binary	1011111111001001110 (19 bits)
Octal	0o1377116
Hexadecimal	0x5FE4E

Divisor Catalog (8)

1 2 13 26 15,107 30,214 196,391 392,782

Collatz Trajectory (130 steps to reach 1)

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

392,782 196,391 589,174 294,587 883,762 441,881 1,325,644 662,822 331,411 994,234 497,117 1,491,352 745,676 372,838 186,419 559,258 279,629 838,888 419,444 209,722 104,861 314,584 157,292 78,646 39,323 117,970 58,985 176,956 88,478 44,239 132,718 66,359 199,078 99,539 298,618 149,309 447,928 223,964 111,982 55,991 167,974 83,987 251,962 125,981 377,944 188,972 94,486 47,243 141,730 70,865 212,596 106,298 53,149 159,448 79,724 39,862 19,931 59,794 29,897 89,692

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