3,414,862

2 × 11² × 103 × 137

Starting at 3,414,862, the Collatz iteration reaches 1 after 115 steps. The first transition is 1707431; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 11^2 × 103 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,726,448

Proper Divisor Sum 2,311,586

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3414857 ← → #3414863

Radix Representation

Decimal	3414862
Binary	1101000001101101001110 (22 bits)
Octal	0o15015516
Hexadecimal	0x341B4E

Divisor Catalog (24)

1 2 11 22 103 121 137 206 242 274 1,133 1,507 2,266 3,014 12,463 14,111 16,577 24,926 28,222 33,154 155,221 310,442 1,707,431 3,414,862

Collatz Trajectory (115 steps to reach 1)

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

3,414,862 1,707,431 5,122,294 2,561,147 7,683,442 3,841,721 11,525,164 5,762,582 2,881,291 8,643,874 4,321,937 12,965,812 6,482,906 3,241,453 9,724,360 4,862,180 2,431,090 1,215,545 3,646,636 1,823,318 911,659 2,734,978 1,367,489 4,102,468 2,051,234 1,025,617 3,076,852 1,538,426 769,213 2,307,640 1,153,820 576,910 288,455 865,366 432,683 1,298,050 649,025 1,947,076 973,538 486,769 1,460,308 730,154 365,077 1,095,232 547,616 273,808 136,904 68,452 34,226 17,113 51,340 25,670 12,835 38,506 19,253 57,760 28,880 14,440 7,220 3,610

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