122,953

122953

Starting at 122,953, the Collatz iteration reaches 1 after 87 steps. The first transition is 368860; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 122953

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 122,954

Proper Divisor Sum 1

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #122939 ← → #122957

Radix Representation

Decimal	122953
Binary	11110000001001001 (17 bits)
Octal	0o360111
Hexadecimal	0x1E049

Divisor Catalog (2)

1 122,953

Collatz Trajectory (87 steps to reach 1)

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

122,953 368,860 184,430 92,215 276,646 138,323 414,970 207,485 622,456 311,228 155,614 77,807 233,422 116,711 350,134 175,067 525,202 262,601 787,804 393,902 196,951 590,854 295,427 886,282 443,141 1,329,424 664,712 332,356 166,178 83,089 249,268 124,634 62,317 186,952 93,476 46,738 23,369 70,108 35,054 17,527 52,582 26,291 78,874 39,437 118,312 59,156 29,578 14,789 44,368 22,184 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130

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