8,523,736

2³ × 13 × 41 × 1999

8,523,736 has digital root 7. The neighboring primes are 8523733 and 8523743; its proper-divisor sum differs from the starting integer by 592,528.

Prime Factor Structure

Factorization String 2^3 × 13 × 41 × 1999

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,640,000

Proper Divisor Sum 9,116,264

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8523733 ← → #8523743

Radix Representation

Decimal	8523736
Binary	100000100000111111011000 (24 bits)
Octal	0o40407730
Hexadecimal	0x820FD8

Divisor Catalog (32)

1 2 4 8 13 26 41 52 82 104 164 328 533 1,066 1,999 2,132 3,998 4,264 7,996 15,992 25,987 51,974 81,959 103,948 163,918 207,896 327,836 655,672 1,065,467 2,130,934 4,261,868 8,523,736

Collatz Trajectory (98 steps to reach 1)

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

8,523,736 4,261,868 2,130,934 1,065,467 3,196,402 1,598,201 4,794,604 2,397,302 1,198,651 3,595,954 1,797,977 5,393,932 2,696,966 1,348,483 4,045,450 2,022,725 6,068,176 3,034,088 1,517,044 758,522 379,261 1,137,784 568,892 284,446 142,223 426,670 213,335 640,006 320,003 960,010 480,005 1,440,016 720,008 360,004 180,002 90,001 270,004 135,002 67,501 202,504 101,252 50,626 25,313 75,940 37,970 18,985 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067

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