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Atlas › Integer Profiles › Node 5,276,392

5,276,392

23 × 11 × 17 × 3527
Abundant Even Composite

5,276,392 factors as 2^3 × 11 × 17 × 3527. Its 32 positive divisors give a proper-divisor sum of 6,154,328, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 17 × 3527
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,430,720
Proper Divisor Sum 6,154,328
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5276387 ← → #5276399

Radix Representation

Decimal 5276392
Binary 10100001000001011101000 (23 bits)
Octal 0o24101350
Hexadecimal 0x5082E8

Divisor Catalog (32)

1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1,496 3,527 7,054 14,108 28,216 38,797 59,959 77,594 119,918 155,188 239,836 310,376 479,672 659,549 1,319,098 2,638,196 5,276,392

Collatz Trajectory (201 steps to reach 1)

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

5,276,392 2,638,196 1,319,098 659,549 1,978,648 989,324 494,662 247,331 741,994 370,997 1,112,992 556,496 278,248 139,124 69,562 34,781 104,344 52,172 26,086 13,043 39,130 19,565 58,696 29,348 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479

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