λ
Harmonic Matrix

421,602

2 × 3 × 29 × 2423
Abundant Even Composite

421,602 has digital root 6. The neighboring primes are 421559 and 421607; its proper-divisor sum differs from the starting integer by 29,436.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 2423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 872,640
Proper Divisor Sum 451,038
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #421559 ← → #421607

Radix Representation

Decimal 421602
Binary 1100110111011100010 (19 bits)
Octal 0o1467342
Hexadecimal 0x66EE2

Divisor Catalog (16)

1 2 3 6 29 58 87 174 2,423 4,846 7,269 14,538 70,267 140,534 210,801 421,602

Collatz Trajectory (174 steps to reach 1)

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

421,602 210,801 632,404 316,202 158,101 474,304 237,152 118,576 59,288 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449

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