6,056,344

2³ × 7 × 83 × 1303

Starting at 6,056,344, the Collatz iteration reaches 1 after 121 steps. The first transition is 3028172; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 83 × 1303

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,144,320

Proper Divisor Sum 7,087,976

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6056329 ← → #6056353

Radix Representation

Decimal	6056344
Binary	10111000110100110011000 (23 bits)
Octal	0o27064630
Hexadecimal	0x5C6998

Divisor Catalog (32)

1 2 4 7 8 14 28 56 83 166 332 581 664 1,162 1,303 2,324 2,606 4,648 5,212 9,121 10,424 18,242 36,484 72,968 108,149 216,298 432,596 757,043 865,192 1,514,086 3,028,172 6,056,344

Collatz Trajectory (121 steps to reach 1)

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

6,056,344 3,028,172 1,514,086 757,043 2,271,130 1,135,565 3,406,696 1,703,348 851,674 425,837 1,277,512 638,756 319,378 159,689 479,068 239,534 119,767 359,302 179,651 538,954 269,477 808,432 404,216 202,108 101,054 50,527 151,582 75,791 227,374 113,687 341,062 170,531 511,594 255,797 767,392 383,696 191,848 95,924 47,962 23,981 71,944 35,972 17,986 8,993 26,980 13,490 6,745 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406

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