1,271,824

2⁴ × 29 × 2741

Starting at 1,271,824, the Collatz iteration reaches 1 after 173 steps. The first transition is 635912; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 29 × 2741

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 2,550,060

Proper Divisor Sum 1,278,236

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1271813 ← → #1271827

Radix Representation

Decimal	1271824
Binary	100110110100000010000 (21 bits)
Octal	0o4664020
Hexadecimal	0x136810

Divisor Catalog (20)

1 2 4 8 16 29 58 116 232 464 2,741 5,482 10,964 21,928 43,856 79,489 158,978 317,956 635,912 1,271,824

Collatz Trajectory (173 steps to reach 1)

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

1,271,824 635,912 317,956 158,978 79,489 238,468 119,234 59,617 178,852 89,426 44,713 134,140 67,070 33,535 100,606 50,303 150,910 75,455 226,366 113,183 339,550 169,775 509,326 254,663 763,990 381,995 1,145,986 572,993 1,718,980 859,490 429,745 1,289,236 644,618 322,309 966,928 483,464 241,732 120,866 60,433 181,300 90,650 45,325 135,976 67,988 33,994 16,997 50,992 25,496 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345

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