8,432,456

2³ × 107 × 9851

8,432,456 factors as 2^3 × 107 × 9851. Its 16 positive divisors give a proper-divisor sum of 7,527,784, so this integer is deficient. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^3 × 107 × 9851

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,960,240

Proper Divisor Sum 7,527,784

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8432453 ← → #8432461

Radix Representation

Decimal	8432456
Binary	100000001010101101001000 (24 bits)
Octal	0o40125510
Hexadecimal	0x80AB48

Divisor Catalog (16)

1 2 4 8 107 214 428 856 9,851 19,702 39,404 78,808 1,054,057 2,108,114 4,216,228 8,432,456

Collatz Trajectory (62 steps to reach 1)

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

8,432,456 4,216,228 2,108,114 1,054,057 3,162,172 1,581,086 790,543 2,371,630 1,185,815 3,557,446 1,778,723 5,336,170 2,668,085 8,004,256 4,002,128 2,001,064 1,000,532 500,266 250,133 750,400 375,200 187,600 93,800 46,900 23,450 11,725 35,176 17,588 8,794 4,397 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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