30,856

2³ × 7 × 19 × 29

Starting at 30,856, the Collatz iteration reaches 1 after 54 steps. The first transition is 15428; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 19 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 72,000

Proper Divisor Sum 41,144

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #30853 ← → #30859

Radix Representation

Decimal	30856
Binary	111100010001000 (15 bits)
Octal	0o74210
Hexadecimal	0x7888

Divisor Catalog (32)

1 2 4 7 8 14 19 28 29 38 56 58 76 116 133 152 203 232 266 406 532 551 812 1,064 1,102 1,624 2,204 3,857 4,408 7,714 15,428 30,856

Collatz Trajectory (54 steps to reach 1)

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

30,856 15,428 7,714 3,857 11,572 5,786 2,893 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

← Previous Integer #30,855 Browse Full Index Next Integer #30,857 →