λ
Harmonic Matrix

1,204,602

2 × 3 × 7 × 23 × 29 × 43
Abundant Even Composite

1,204,602 has digital root 6. The neighboring primes are 1204597 and 1204607; its proper-divisor sum differs from the starting integer by 632,076.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 23 × 29 × 43
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 3,041,280
Proper Divisor Sum 1,836,678
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1204597 ← → #1204607

Radix Representation

Decimal 1204602
Binary 100100110000101111010 (21 bits)
Octal 0o4460572
Hexadecimal 0x12617A

Divisor Catalog (60 of 64)

1 2 3 6 7 14 21 23 29 42 43 46 58 69 86 87 129 138 161 174 203 258 301 322 406 483 602 609 667 903 966 989 1,218 1,247 1,334 1,806 1,978 2,001 2,494 2,967 3,741 4,002 4,669 5,934 6,923 7,482 8,729 9,338 13,846 14,007 17,458 20,769 26,187 28,014 28,681 41,538 52,374 57,362 86,043 172,086

Collatz Trajectory (116 steps to reach 1)

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

1,204,602 602,301 1,806,904 903,452 451,726 225,863 677,590 338,795 1,016,386 508,193 1,524,580 762,290 381,145 1,143,436 571,718 285,859 857,578 428,789 1,286,368 643,184 321,592 160,796 80,398 40,199 120,598 60,299 180,898 90,449 271,348 135,674 67,837 203,512 101,756 50,878 25,439 76,318 38,159 114,478 57,239 171,718 85,859 257,578 128,789 386,368 193,184 96,592 48,296 24,148 12,074 6,037 18,112 9,056 4,528 2,264 1,132 566 283 850 425 1,276

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