8,462,722

2 × 29 × 53 × 2753

8,462,722 factors as 2 × 29 × 53 × 2753. Its 16 positive divisors give a proper-divisor sum of 4,921,718, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2 × 29 × 53 × 2753

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,384,440

Proper Divisor Sum 4,921,718

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8462639 ← → #8462723

Radix Representation

Decimal	8462722
Binary	100000010010000110000010 (24 bits)
Octal	0o40220602
Hexadecimal	0x812182

Divisor Catalog (16)

1 2 29 53 58 106 1,537 2,753 3,074 5,506 79,837 145,909 159,674 291,818 4,231,361 8,462,722

Collatz Trajectory (243 steps to reach 1)

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

8,462,722 4,231,361 12,694,084 6,347,042 3,173,521 9,520,564 4,760,282 2,380,141 7,140,424 3,570,212 1,785,106 892,553 2,677,660 1,338,830 669,415 2,008,246 1,004,123 3,012,370 1,506,185 4,518,556 2,259,278 1,129,639 3,388,918 1,694,459 5,083,378 2,541,689 7,625,068 3,812,534 1,906,267 5,718,802 2,859,401 8,578,204 4,289,102 2,144,551 6,433,654 3,216,827 9,650,482 4,825,241 14,475,724 7,237,862 3,618,931 10,856,794 5,428,397 16,285,192 8,142,596 4,071,298 2,035,649 6,106,948 3,053,474 1,526,737 4,580,212 2,290,106 1,145,053 3,435,160 1,717,580 858,790 429,395 1,288,186 644,093 1,932,280

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