4,132,984

2³ × 516623

4,132,984 factors as 2^3 × 516623. Its 8 positive divisors give a proper-divisor sum of 3,616,376, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^3 × 516623

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,749,360

Proper Divisor Sum 3,616,376

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4132979 ← → #4132987

Radix Representation

Decimal	4132984
Binary	1111110001000001111000 (22 bits)
Octal	0o17610170
Hexadecimal	0x3F1078

Divisor Catalog (8)

1 2 4 8 516,623 1,033,246 2,066,492 4,132,984

Collatz Trajectory (167 steps to reach 1)

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

4,132,984 2,066,492 1,033,246 516,623 1,549,870 774,935 2,324,806 1,162,403 3,487,210 1,743,605 5,230,816 2,615,408 1,307,704 653,852 326,926 163,463 490,390 245,195 735,586 367,793 1,103,380 551,690 275,845 827,536 413,768 206,884 103,442 51,721 155,164 77,582 38,791 116,374 58,187 174,562 87,281 261,844 130,922 65,461 196,384 98,192 49,096 24,548 12,274 6,137 18,412 9,206 4,603 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224

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