8,216,632

2³ × 79 × 13001

8,216,632 factors as 2^3 × 79 × 13001. Its 16 positive divisors give a proper-divisor sum of 7,385,768, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 79 × 13001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,602,400

Proper Divisor Sum 7,385,768

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8216609 ← → #8216641

Radix Representation

Decimal	8216632
Binary	11111010110000000111000 (23 bits)
Octal	0o37260070
Hexadecimal	0x7D6038

Divisor Catalog (16)

1 2 4 8 79 158 316 632 13,001 26,002 52,004 104,008 1,027,079 2,054,158 4,108,316 8,216,632

Collatz Trajectory (199 steps to reach 1)

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

8,216,632 4,108,316 2,054,158 1,027,079 3,081,238 1,540,619 4,621,858 2,310,929 6,932,788 3,466,394 1,733,197 5,199,592 2,599,796 1,299,898 649,949 1,949,848 974,924 487,462 243,731 731,194 365,597 1,096,792 548,396 274,198 137,099 411,298 205,649 616,948 308,474 154,237 462,712 231,356 115,678 57,839 173,518 86,759 260,278 130,139 390,418 195,209 585,628 292,814 146,407 439,222 219,611 658,834 329,417 988,252 494,126 247,063 741,190 370,595 1,111,786 555,893 1,667,680 833,840 416,920 208,460 104,230 52,115

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