9,205,957

23 × 73 × 5483

Starting at 9,205,957, the Collatz iteration reaches 1 after 225 steps. The first transition is 27617872; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 73 × 5483

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,739,584

Proper Divisor Sum 533,627

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9205951 ← → #9205961

Radix Representation

Decimal	9205957
Binary	100011000111100011000101 (24 bits)
Octal	0o43074305
Hexadecimal	0x8C78C5

Divisor Catalog (8)

1 23 73 1,679 5,483 126,109 400,259 9,205,957

Collatz Trajectory (225 steps to reach 1)

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

9,205,957 27,617,872 13,808,936 6,904,468 3,452,234 1,726,117 5,178,352 2,589,176 1,294,588 647,294 323,647 970,942 485,471 1,456,414 728,207 2,184,622 1,092,311 3,276,934 1,638,467 4,915,402 2,457,701 7,373,104 3,686,552 1,843,276 921,638 460,819 1,382,458 691,229 2,073,688 1,036,844 518,422 259,211 777,634 388,817 1,166,452 583,226 291,613 874,840 437,420 218,710 109,355 328,066 164,033 492,100 246,050 123,025 369,076 184,538 92,269 276,808 138,404 69,202 34,601 103,804 51,902 25,951 77,854 38,927 116,782 58,391

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