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Atlas › Integer Profiles › Node 3,913,192

3,913,192

23 × 312 × 509
Deficient Even Composite

3,913,192 factors as 2^3 × 31^2 × 509. Its 24 positive divisors give a proper-divisor sum of 3,683,258, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 31^2 × 509
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,596,450
Proper Divisor Sum 3,683,258
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3913181 ← → #3913193

Radix Representation

Decimal 3913192
Binary 1110111011010111101000 (22 bits)
Octal 0o16732750
Hexadecimal 0x3BB5E8

Divisor Catalog (24)

1 2 4 8 31 62 124 248 509 961 1,018 1,922 2,036 3,844 4,072 7,688 15,779 31,558 63,116 126,232 489,149 978,298 1,956,596 3,913,192

Collatz Trajectory (92 steps to reach 1)

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

3,913,192 1,956,596 978,298 489,149 1,467,448 733,724 366,862 183,431 550,294 275,147 825,442 412,721 1,238,164 619,082 309,541 928,624 464,312 232,156 116,078 58,039 174,118 87,059 261,178 130,589 391,768 195,884 97,942 48,971 146,914 73,457 220,372 110,186 55,093 165,280 82,640 41,320 20,660 10,330 5,165 15,496 7,748 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692

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