λ
Harmonic Matrix

4,376,760

23 × 3 × 5 × 36473
Abundant Even Composite

4,376,760 has digital root 6. The neighboring primes are 4376759 and 4376789; its proper-divisor sum differs from the starting integer by 4,377,120.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 36473
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,130,640
Proper Divisor Sum 8,753,880
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4376759 ← → #4376789

Radix Representation

Decimal 4376760
Binary 10000101100100010111000 (23 bits)
Octal 0o20544270
Hexadecimal 0x42C8B8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 36,473 72,946 109,419 145,892 182,365 218,838 291,784 364,730 437,676 547,095 729,460 875,352 1,094,190 1,458,920 2,188,380 4,376,760

Collatz Trajectory (180 steps to reach 1)

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

4,376,760 2,188,380 1,094,190 547,095 1,641,286 820,643 2,461,930 1,230,965 3,692,896 1,846,448 923,224 461,612 230,806 115,403 346,210 173,105 519,316 259,658 129,829 389,488 194,744 97,372 48,686 24,343 73,030 36,515 109,546 54,773 164,320 82,160 41,080 20,540 10,270 5,135 15,406 7,703 23,110 11,555 34,666 17,333 52,000 26,000 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773

More profiles

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