λ
Prime Ledger

4,073,480

23 × 5 × 101837
Abundant Even Composite

4,073,480 has the prime decomposition 2^3 × 5 × 101837. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 101837
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,165,420
Proper Divisor Sum 5,091,940
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4073453 ← → #4073491

Radix Representation

Decimal 4073480
Binary 1111100010100000001000 (22 bits)
Octal 0o17424010
Hexadecimal 0x3E2808

Divisor Catalog (16)

1 2 4 5 8 10 20 40 101,837 203,674 407,348 509,185 814,696 1,018,370 2,036,740 4,073,480

Collatz Trajectory (110 steps to reach 1)

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

4,073,480 2,036,740 1,018,370 509,185 1,527,556 763,778 381,889 1,145,668 572,834 286,417 859,252 429,626 214,813 644,440 322,220 161,110 80,555 241,666 120,833 362,500 181,250 90,625 271,876 135,938 67,969 203,908 101,954 50,977 152,932 76,466 38,233 114,700 57,350 28,675 86,026 43,013 129,040 64,520 32,260 16,130 8,065 24,196 12,098 6,049 18,148 9,074 4,537 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718

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