8,240,652

2² × 3² × 7 × 53 × 617

8,240,652 factors as 2^2 × 3^2 × 7 × 53 × 617. Its 72 positive divisors give a proper-divisor sum of 16,054,164, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 53 × 617

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 24,294,816

Proper Divisor Sum 16,054,164

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8240633 ← → #8240663

Radix Representation

Decimal	8240652
Binary	11111011011111000001100 (23 bits)
Octal	0o37337014
Hexadecimal	0x7DBE0C

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 617 636 742 954 1,113 1,234 1,484 1,851 1,908 2,226 2,468 3,339 3,702 4,319 4,452 5,553 6,678 7,404 8,638 11,106 12,957 13,356 17,276 22,212 25,914 32,701 38,871 51,828 65,402 77,742 98,103 130,804 155,484 196,206 228,907

Collatz Trajectory (155 steps to reach 1)

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

8,240,652 4,120,326 2,060,163 6,180,490 3,090,245 9,270,736 4,635,368 2,317,684 1,158,842 579,421 1,738,264 869,132 434,566 217,283 651,850 325,925 977,776 488,888 244,444 122,222 61,111 183,334 91,667 275,002 137,501 412,504 206,252 103,126 51,563 154,690 77,345 232,036 116,018 58,009 174,028 87,014 43,507 130,522 65,261 195,784 97,892 48,946 24,473 73,420 36,710 18,355 55,066 27,533 82,600 41,300 20,650 10,325 30,976 15,488 7,744 3,872 1,936 968 484 242

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