8,472,118

2 × 29 × 43² × 79

8,472,118 factors as 2 × 29 × 43^2 × 79. Its 24 positive divisors give a proper-divisor sum of 5,157,482, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 29 × 43^2 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,629,600

Proper Divisor Sum 5,157,482

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8472109 ← → #8472127

Radix Representation

Decimal	8472118
Binary	100000010100011000110110 (24 bits)
Octal	0o40243066
Hexadecimal	0x814636

Divisor Catalog (24)

Collatz Trajectory (199 steps to reach 1)

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

8,472,118 4,236,059 12,708,178 6,354,089 19,062,268 9,531,134 4,765,567 14,296,702 7,148,351 21,445,054 10,722,527 32,167,582 16,083,791 48,251,374 24,125,687 72,377,062 36,188,531 108,565,594 54,282,797 162,848,392 81,424,196 40,712,098 20,356,049 61,068,148 30,534,074 15,267,037 45,801,112 22,900,556 11,450,278 5,725,139 17,175,418 8,587,709 25,763,128 12,881,564 6,440,782 3,220,391 9,661,174 4,830,587 14,491,762 7,245,881 21,737,644 10,868,822 5,434,411 16,303,234 8,151,617 24,454,852 12,227,426 6,113,713 18,341,140 9,170,570 4,585,285 13,755,856 6,877,928 3,438,964 1,719,482 859,741 2,579,224 1,289,612 644,806 322,403

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