3,719,416

2³ × 464927

Starting at 3,719,416, the Collatz iteration reaches 1 after 172 steps. The first transition is 1859708; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 464927

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,973,920

Proper Divisor Sum 3,254,504

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3719393 ← → #3719431

Radix Representation

Decimal	3719416
Binary	1110001100000011111000 (22 bits)
Octal	0o16140370
Hexadecimal	0x38C0F8

Divisor Catalog (8)

1 2 4 8 464,927 929,854 1,859,708 3,719,416

Collatz Trajectory (172 steps to reach 1)

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

3,719,416 1,859,708 929,854 464,927 1,394,782 697,391 2,092,174 1,046,087 3,138,262 1,569,131 4,707,394 2,353,697 7,061,092 3,530,546 1,765,273 5,295,820 2,647,910 1,323,955 3,971,866 1,985,933 5,957,800 2,978,900 1,489,450 744,725 2,234,176 1,117,088 558,544 279,272 139,636 69,818 34,909 104,728 52,364 26,182 13,091 39,274 19,637 58,912 29,456 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110

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