5,791,248

2⁴ × 3² × 131 × 307

5,791,248 has digital root 9. The neighboring primes are 5791241 and 5791249; its proper-divisor sum differs from the starting integer by 4,801,872.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 131 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 16,384,368

Proper Divisor Sum 10,593,120

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5791241 ← → #5791249

Radix Representation

Decimal	5791248
Binary	10110000101111000010000 (23 bits)
Octal	0o26057020
Hexadecimal	0x585E10

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 307 393 524 614 786 921 1,048 1,179 1,228 1,572 1,842 2,096 2,358 2,456 2,763 3,144 3,684 4,716 4,912 5,526 6,288 7,368 9,432 11,052 14,736 18,864 22,104 40,217 44,208 80,434 120,651 160,868 241,302 321,736 361,953 482,604 643,472 723,906 965,208 1,447,812 1,930,416 2,895,624 5,791,248

Collatz Trajectory (232 steps to reach 1)

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

5,791,248 2,895,624 1,447,812 723,906 361,953 1,085,860 542,930 271,465 814,396 407,198 203,599 610,798 305,399 916,198 458,099 1,374,298 687,149 2,061,448 1,030,724 515,362 257,681 773,044 386,522 193,261 579,784 289,892 144,946 72,473 217,420 108,710 54,355 163,066 81,533 244,600 122,300 61,150 30,575 91,726 45,863 137,590 68,795 206,386 103,193 309,580 154,790 77,395 232,186 116,093 348,280 174,140 87,070 43,535 130,606 65,303 195,910 97,955 293,866 146,933 440,800 220,400

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