λ
Harmonic Matrix

74,900

22 × 52 × 7 × 107
Abundant Even Composite

74,900 has digital root 2. The neighboring primes are 74897 and 74903; its proper-divisor sum differs from the starting integer by 37,688.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 187,488
Proper Divisor Sum 112,588
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #74897 ← → #74903

Radix Representation

Decimal 74900
Binary 10010010010010100 (17 bits)
Octal 0o222224
Hexadecimal 0x12494

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 107 140 175 214 350 428 535 700 749 1,070 1,498 2,140 2,675 2,996 3,745 5,350 7,490 10,700 14,980 18,725 37,450 74,900

Collatz Trajectory (50 steps to reach 1)

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

74,900 37,450 18,725 56,176 28,088 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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