6,004,624

2⁴ × 29 × 12941

Starting at 6,004,624, the Collatz iteration reaches 1 after 152 steps. The first transition is 3002312; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 29 × 12941

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 12,036,060

Proper Divisor Sum 6,031,436

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #6004601 ← → #6004631

Radix Representation

Decimal	6004624
Binary	10110111001111110010000 (23 bits)
Octal	0o26717620
Hexadecimal	0x5B9F90

Divisor Catalog (20)

1 2 4 8 16 29 58 116 232 464 12,941 25,882 51,764 103,528 207,056 375,289 750,578 1,501,156 3,002,312 6,004,624

Collatz Trajectory (152 steps to reach 1)

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

6,004,624 3,002,312 1,501,156 750,578 375,289 1,125,868 562,934 281,467 844,402 422,201 1,266,604 633,302 316,651 949,954 474,977 1,424,932 712,466 356,233 1,068,700 534,350 267,175 801,526 400,763 1,202,290 601,145 1,803,436 901,718 450,859 1,352,578 676,289 2,028,868 1,014,434 507,217 1,521,652 760,826 380,413 1,141,240 570,620 285,310 142,655 427,966 213,983 641,950 320,975 962,926 481,463 1,444,390 722,195 2,166,586 1,083,293 3,249,880 1,624,940 812,470 406,235 1,218,706 609,353 1,828,060 914,030 457,015 1,371,046

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