1,077,304

2³ × 311 × 433

Starting at 1,077,304, the Collatz iteration reaches 1 after 121 steps. The first transition is 538652; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 311 × 433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,031,120

Proper Divisor Sum 953,816

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1077301 ← → #1077311

Radix Representation

Decimal	1077304
Binary	100000111000000111000 (21 bits)
Octal	0o4070070
Hexadecimal	0x107038

Divisor Catalog (16)

1 2 4 8 311 433 622 866 1,244 1,732 2,488 3,464 134,663 269,326 538,652 1,077,304

Collatz Trajectory (121 steps to reach 1)

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

1,077,304 538,652 269,326 134,663 403,990 201,995 605,986 302,993 908,980 454,490 227,245 681,736 340,868 170,434 85,217 255,652 127,826 63,913 191,740 95,870 47,935 143,806 71,903 215,710 107,855 323,566 161,783 485,350 242,675 728,026 364,013 1,092,040 546,020 273,010 136,505 409,516 204,758 102,379 307,138 153,569 460,708 230,354 115,177 345,532 172,766 86,383 259,150 129,575 388,726 194,363 583,090 291,545 874,636 437,318 218,659 655,978 327,989 983,968 491,984 245,992

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