λ
Harmonic Matrix

8,017,476

22 × 3 × 89 × 7507
Abundant Even Composite

8,017,476 has digital root 6. The neighboring primes are 8017459 and 8017483; its proper-divisor sum differs from the starting integer by 2,885,208.

Prime Factor Structure

Factorization String 2^2 × 3 × 89 × 7507
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,920,160
Proper Divisor Sum 10,902,684
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8017459 ← → #8017483

Radix Representation

Decimal 8017476
Binary 11110100101011001000100 (23 bits)
Octal 0o36453104
Hexadecimal 0x7A5644

Divisor Catalog (24)

1 2 3 4 6 12 89 178 267 356 534 1,068 7,507 15,014 22,521 30,028 45,042 90,084 668,123 1,336,246 2,004,369 2,672,492 4,008,738 8,017,476

Collatz Trajectory (155 steps to reach 1)

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

8,017,476 4,008,738 2,004,369 6,013,108 3,006,554 1,503,277 4,509,832 2,254,916 1,127,458 563,729 1,691,188 845,594 422,797 1,268,392 634,196 317,098 158,549 475,648 237,824 118,912 59,456 29,728 14,864 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242

More profiles

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