7,182,264

2³ × 3 × 299261

7,182,264 factors as 2^3 × 3 × 299261. Its 16 positive divisors give a proper-divisor sum of 10,773,456, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 299261

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,955,720

Proper Divisor Sum 10,773,456

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7182223 ← → #7182271

Radix Representation

Decimal	7182264
Binary	11011011001011110111000 (23 bits)
Octal	0o33313670
Hexadecimal	0x6D97B8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 299,261 598,522 897,783 1,197,044 1,795,566 2,394,088 3,591,132 7,182,264

Collatz Trajectory (191 steps to reach 1)

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

7,182,264 3,591,132 1,795,566 897,783 2,693,350 1,346,675 4,040,026 2,020,013 6,060,040 3,030,020 1,515,010 757,505 2,272,516 1,136,258 568,129 1,704,388 852,194 426,097 1,278,292 639,146 319,573 958,720 479,360 239,680 119,840 59,920 29,960 14,980 7,490 3,745 11,236 5,618 2,809 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612

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