3,708,924

2² × 3 × 17 × 18181

Starting at 3,708,924, the Collatz iteration reaches 1 after 110 steps. The first transition is 1854462; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 18181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,163,728

Proper Divisor Sum 5,454,804

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3708923 ← → #3708931

Radix Representation

Decimal	3708924
Binary	1110001001011111111100 (22 bits)
Octal	0o16113774
Hexadecimal	0x3897FC

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 18,181 36,362 54,543 72,724 109,086 218,172 309,077 618,154 927,231 1,236,308 1,854,462 3,708,924

Collatz Trajectory (110 steps to reach 1)

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

3,708,924 1,854,462 927,231 2,781,694 1,390,847 4,172,542 2,086,271 6,258,814 3,129,407 9,388,222 4,694,111 14,082,334 7,041,167 21,123,502 10,561,751 31,685,254 15,842,627 47,527,882 23,763,941 71,291,824 35,645,912 17,822,956 8,911,478 4,455,739 13,367,218 6,683,609 20,050,828 10,025,414 5,012,707 15,038,122 7,519,061 22,557,184 11,278,592 5,639,296 2,819,648 1,409,824 704,912 352,456 176,228 88,114 44,057 132,172 66,086 33,043 99,130 49,565 148,696 74,348 37,174 18,587 55,762 27,881 83,644 41,822 20,911 62,734 31,367 94,102 47,051 141,154

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