402,850

2 × 5² × 7 × 1151

Starting at 402,850, the Collatz iteration reaches 1 after 68 steps. The first transition is 201425; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 1151

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 857,088

Proper Divisor Sum 454,238

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #402847 ← → #402851

Radix Representation

Decimal	402850
Binary	1100010010110100010 (19 bits)
Octal	0o1422642
Hexadecimal	0x625A2

Divisor Catalog (24)

1 2 5 7 10 14 25 35 50 70 175 350 1,151 2,302 5,755 8,057 11,510 16,114 28,775 40,285 57,550 80,570 201,425 402,850

Collatz Trajectory (68 steps to reach 1)

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

402,850 201,425 604,276 302,138 151,069 453,208 226,604 113,302 56,651 169,954 84,977 254,932 127,466 63,733 191,200 95,600 47,800 23,900 11,950 5,975 17,926 8,963 26,890 13,445 40,336 20,168 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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