395,892

2² × 3² × 7 × 1571

Starting at 395,892, the Collatz iteration reaches 1 after 148 steps. The first transition is 197946; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 1571

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,144,416

Proper Divisor Sum 748,524

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #395891 ← → #395897

Radix Representation

Decimal	395892
Binary	1100000101001110100 (19 bits)
Octal	0o1405164
Hexadecimal	0x60A74

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1,571 3,142 4,713 6,284 9,426 10,997 14,139 18,852 21,994 28,278 32,991 43,988 56,556 65,982 98,973 131,964 197,946 395,892

Collatz Trajectory (148 steps to reach 1)

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

395,892 197,946 98,973 296,920 148,460 74,230 37,115 111,346 55,673 167,020 83,510 41,755 125,266 62,633 187,900 93,950 46,975 140,926 70,463 211,390 105,695 317,086 158,543 475,630 237,815 713,446 356,723 1,070,170 535,085 1,605,256 802,628 401,314 200,657 601,972 300,986 150,493 451,480 225,740 112,870 56,435 169,306 84,653 253,960 126,980 63,490 31,745 95,236 47,618 23,809 71,428 35,714 17,857 53,572 26,786 13,393 40,180 20,090 10,045 30,136 15,068

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