4,057,346

2 × 37 × 54829

Starting at 4,057,346, the Collatz iteration reaches 1 after 84 steps. The first transition is 2028673; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 37 × 54829

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,250,620

Proper Divisor Sum 2,193,274

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4057343 ← → #4057349

Radix Representation

Decimal	4057346
Binary	1111011110100100000010 (22 bits)
Octal	0o17364402
Hexadecimal	0x3DE902

Divisor Catalog (8)

1 2 37 74 54,829 109,658 2,028,673 4,057,346

Collatz Trajectory (84 steps to reach 1)

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

4,057,346 2,028,673 6,086,020 3,043,010 1,521,505 4,564,516 2,282,258 1,141,129 3,423,388 1,711,694 855,847 2,567,542 1,283,771 3,851,314 1,925,657 5,776,972 2,888,486 1,444,243 4,332,730 2,166,365 6,499,096 3,249,548 1,624,774 812,387 2,437,162 1,218,581 3,655,744 1,827,872 913,936 456,968 228,484 114,242 57,121 171,364 85,682 42,841 128,524 64,262 32,131 96,394 48,197 144,592 72,296 36,148 18,074 9,037 27,112 13,556 6,778 3,389 10,168 5,084 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292

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