403,858

2 × 7² × 13 × 317

Starting at 403,858, the Collatz iteration reaches 1 after 68 steps. The first transition is 201929; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 13 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 761,292

Proper Divisor Sum 357,434

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #403849 ← → #403861

Radix Representation

Decimal	403858
Binary	1100010100110010010 (19 bits)
Octal	0o1424622
Hexadecimal	0x62992

Divisor Catalog (24)

1 2 7 13 14 26 49 91 98 182 317 634 637 1,274 2,219 4,121 4,438 8,242 15,533 28,847 31,066 57,694 201,929 403,858

Collatz Trajectory (68 steps to reach 1)

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

403,858 201,929 605,788 302,894 151,447 454,342 227,171 681,514 340,757 1,022,272 511,136 255,568 127,784 63,892 31,946 15,973 47,920 23,960 11,980 5,990 2,995 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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