5,709,509

13 × 199 × 2207

5,709,509 has digital root 8. The neighboring primes are 5709493 and 5709523; its proper-divisor sum differs from the starting integer by -5,236,618.

Prime Factor Structure

Factorization String 13 × 199 × 2207

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,182,400

Proper Divisor Sum 472,891

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #5709493 ← → #5709523

Radix Representation

Decimal	5709509
Binary	10101110001111011000101 (23 bits)
Octal	0o25617305
Hexadecimal	0x571EC5

Divisor Catalog (8)

1 13 199 2,207 2,587 28,691 439,193 5,709,509

Collatz Trajectory (77 steps to reach 1)

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

5,709,509 17,128,528 8,564,264 4,282,132 2,141,066 1,070,533 3,211,600 1,605,800 802,900 401,450 200,725 602,176 301,088 150,544 75,272 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29

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