2,377,484

2² × 17 × 34963

Starting at 2,377,484, the Collatz iteration reaches 1 after 148 steps. The first transition is 1188742; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 34963

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,405,464

Proper Divisor Sum 2,027,980

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2377481 ← → #2377493

Radix Representation

Decimal	2377484
Binary	1001000100011100001100 (22 bits)
Octal	0o11043414
Hexadecimal	0x24470C

Divisor Catalog (12)

1 2 4 17 34 68 34,963 69,926 139,852 594,371 1,188,742 2,377,484

Collatz Trajectory (148 steps to reach 1)

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

2,377,484 1,188,742 594,371 1,783,114 891,557 2,674,672 1,337,336 668,668 334,334 167,167 501,502 250,751 752,254 376,127 1,128,382 564,191 1,692,574 846,287 2,538,862 1,269,431 3,808,294 1,904,147 5,712,442 2,856,221 8,568,664 4,284,332 2,142,166 1,071,083 3,213,250 1,606,625 4,819,876 2,409,938 1,204,969 3,614,908 1,807,454 903,727 2,711,182 1,355,591 4,066,774 2,033,387 6,100,162 3,050,081 9,150,244 4,575,122 2,287,561 6,862,684 3,431,342 1,715,671 5,147,014 2,573,507 7,720,522 3,860,261 11,580,784 5,790,392 2,895,196 1,447,598 723,799 2,171,398 1,085,699 3,257,098

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