5,783,634

2 × 3² × 321313

5,783,634 has digital root 9. The neighboring primes are 5783579 and 5783677; its proper-divisor sum differs from the starting integer by 963,978.

Prime Factor Structure

Factorization String 2 × 3^2 × 321313

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,531,246

Proper Divisor Sum 6,747,612

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5783579 ← → #5783677

Radix Representation

Decimal	5783634
Binary	10110000100000001010010 (23 bits)
Octal	0o26040122
Hexadecimal	0x584052

Divisor Catalog (12)

1 2 3 6 9 18 321,313 642,626 963,939 1,927,878 2,891,817 5,783,634

Collatz Trajectory (245 steps to reach 1)

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

5,783,634 2,891,817 8,675,452 4,337,726 2,168,863 6,506,590 3,253,295 9,759,886 4,879,943 14,639,830 7,319,915 21,959,746 10,979,873 32,939,620 16,469,810 8,234,905 24,704,716 12,352,358 6,176,179 18,528,538 9,264,269 27,792,808 13,896,404 6,948,202 3,474,101 10,422,304 5,211,152 2,605,576 1,302,788 651,394 325,697 977,092 488,546 244,273 732,820 366,410 183,205 549,616 274,808 137,404 68,702 34,351 103,054 51,527 154,582 77,291 231,874 115,937 347,812 173,906 86,953 260,860 130,430 65,215 195,646 97,823 293,470 146,735 440,206 220,103

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