5,317,788

2² × 3 × 7 × 29 × 37 × 59

Starting at 5,317,788, the Collatz iteration reaches 1 after 82 steps. The first transition is 2658894; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 29 × 37 × 59

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 15,321,600

Proper Divisor Sum 10,003,812

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5317769 ← → #5317799

Radix Representation

Decimal	5317788
Binary	10100010010010010011100 (23 bits)
Octal	0o24222234
Hexadecimal	0x51249C

Divisor Catalog (60 of 96)

1 2 3 4 6 7 12 14 21 28 29 37 42 58 59 74 84 87 111 116 118 148 174 177 203 222 236 259 348 354 406 413 444 518 609 708 777 812 826 1,036 1,073 1,218 1,239 1,554 1,652 1,711 2,146 2,183 2,436 2,478 3,108 3,219 3,422 4,292 4,366 4,956 5,133 6,438 6,549 6,844

Collatz Trajectory (82 steps to reach 1)

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

5,317,788 2,658,894 1,329,447 3,988,342 1,994,171 5,982,514 2,991,257 8,973,772 4,486,886 2,243,443 6,730,330 3,365,165 10,095,496 5,047,748 2,523,874 1,261,937 3,785,812 1,892,906 946,453 2,839,360 1,419,680 709,840 354,920 177,460 88,730 44,365 133,096 66,548 33,274 16,637 49,912 24,956 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938

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