421,855

5 × 7 × 17 × 709

421,855 has digital root 7. The neighboring primes are 421847 and 421891; its proper-divisor sum differs from the starting integer by -230,270.

Prime Factor Structure

Factorization String 5 × 7 × 17 × 709

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 613,440

Proper Divisor Sum 191,585

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #421847 ← → #421891

Radix Representation

Decimal	421855
Binary	1100110111111011111 (19 bits)
Octal	0o1467737
Hexadecimal	0x66FDF

Divisor Catalog (16)

1 5 7 17 35 85 119 595 709 3,545 4,963 12,053 24,815 60,265 84,371 421,855

Collatz Trajectory (130 steps to reach 1)

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

421,855 1,265,566 632,783 1,898,350 949,175 2,847,526 1,423,763 4,271,290 2,135,645 6,406,936 3,203,468 1,601,734 800,867 2,402,602 1,201,301 3,603,904 1,801,952 900,976 450,488 225,244 112,622 56,311 168,934 84,467 253,402 126,701 380,104 190,052 95,026 47,513 142,540 71,270 35,635 106,906 53,453 160,360 80,180 40,090 20,045 60,136 30,068 15,034 7,517 22,552 11,276 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680

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