264,829

264829

Starting at 264,829, the Collatz iteration reaches 1 after 163 steps. The first transition is 794488; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 264829

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 264,830

Proper Divisor Sum 1

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #264827 ← → #264839

Radix Representation

Decimal	264829
Binary	1000000101001111101 (19 bits)
Octal	0o1005175
Hexadecimal	0x40A7D

Divisor Catalog (2)

1 264,829

Collatz Trajectory (163 steps to reach 1)

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

264,829 794,488 397,244 198,622 99,311 297,934 148,967 446,902 223,451 670,354 335,177 1,005,532 502,766 251,383 754,150 377,075 1,131,226 565,613 1,696,840 848,420 424,210 212,105 636,316 318,158 159,079 477,238 238,619 715,858 357,929 1,073,788 536,894 268,447 805,342 402,671 1,208,014 604,007 1,812,022 906,011 2,718,034 1,359,017 4,077,052 2,038,526 1,019,263 3,057,790 1,528,895 4,586,686 2,293,343 6,880,030 3,440,015 10,320,046 5,160,023 15,480,070 7,740,035 23,220,106 11,610,053 34,830,160 17,415,080 8,707,540 4,353,770 2,176,885

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