2,461,953

3 × 13 × 63127

Starting at 2,461,953, the Collatz iteration reaches 1 after 174 steps. The first transition is 7385860; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 63127

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,535,168

Proper Divisor Sum 1,073,215

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2461951 ← → #2461961

Radix Representation

Decimal	2461953
Binary	1001011001000100000001 (22 bits)
Octal	0o11310401
Hexadecimal	0x259101

Divisor Catalog (8)

1 3 13 39 63,127 189,381 820,651 2,461,953

Collatz Trajectory (174 steps to reach 1)

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

2,461,953 7,385,860 3,692,930 1,846,465 5,539,396 2,769,698 1,384,849 4,154,548 2,077,274 1,038,637 3,115,912 1,557,956 778,978 389,489 1,168,468 584,234 292,117 876,352 438,176 219,088 109,544 54,772 27,386 13,693 41,080 20,540 10,270 5,135 15,406 7,703 23,110 11,555 34,666 17,333 52,000 26,000 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436

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