7,780,954

2 × 113 × 34429

Starting at 7,780,954, the Collatz iteration reaches 1 after 67 steps. The first transition is 3890477; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 113 × 34429

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,775,060

Proper Divisor Sum 3,994,106

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7780921 ← → #7780963

Radix Representation

Decimal	7780954
Binary	11101101011101001011010 (23 bits)
Octal	0o35535132
Hexadecimal	0x76BA5A

Divisor Catalog (8)

1 2 113 226 34,429 68,858 3,890,477 7,780,954

Collatz Trajectory (67 steps to reach 1)

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

7,780,954 3,890,477 11,671,432 5,835,716 2,917,858 1,458,929 4,376,788 2,188,394 1,094,197 3,282,592 1,641,296 820,648 410,324 205,162 102,581 307,744 153,872 76,936 38,468 19,234 9,617 28,852 14,426 7,213 21,640 10,820 5,410 2,705 8,116 4,058 2,029 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40

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