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7,254,792

23 × 33 × 33587
Abundant Even Composite

7,254,792 factors as 2^3 × 3^3 × 33587. Its 32 positive divisors give a proper-divisor sum of 12,898,008, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 33587
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,152,800
Proper Divisor Sum 12,898,008
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7254761 ← → #7254803

Radix Representation

Decimal 7254792
Binary 11011101011001100001000 (23 bits)
Octal 0o33531410
Hexadecimal 0x6EB308

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 33,587 67,174 100,761 134,348 201,522 268,696 302,283 403,044 604,566 806,088 906,849 1,209,132 1,813,698 2,418,264 3,627,396 7,254,792

Collatz Trajectory (67 steps to reach 1)

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

7,254,792 3,627,396 1,813,698 906,849 2,720,548 1,360,274 680,137 2,040,412 1,020,206 510,103 1,530,310 765,155 2,295,466 1,147,733 3,443,200 1,721,600 860,800 430,400 215,200 107,600 53,800 26,900 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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