3,745,317

3 × 277 × 4507

Starting at 3,745,317, the Collatz iteration reaches 1 after 133 steps. The first transition is 11235952; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 277 × 4507

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,012,896

Proper Divisor Sum 1,267,579

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3745303 ← → #3745331

Radix Representation

Decimal	3745317
Binary	1110010010011000100101 (22 bits)
Octal	0o16223045
Hexadecimal	0x392625

Divisor Catalog (8)

1 3 277 831 4,507 13,521 1,248,439 3,745,317

Collatz Trajectory (133 steps to reach 1)

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

3,745,317 11,235,952 5,617,976 2,808,988 1,404,494 702,247 2,106,742 1,053,371 3,160,114 1,580,057 4,740,172 2,370,086 1,185,043 3,555,130 1,777,565 5,332,696 2,666,348 1,333,174 666,587 1,999,762 999,881 2,999,644 1,499,822 749,911 2,249,734 1,124,867 3,374,602 1,687,301 5,061,904 2,530,952 1,265,476 632,738 316,369 949,108 474,554 237,277 711,832 355,916 177,958 88,979 266,938 133,469 400,408 200,204 100,102 50,051 150,154 75,077 225,232 112,616 56,308 28,154 14,077 42,232 21,116 10,558 5,279 15,838 7,919 23,758

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