λ
Harmonic Matrix

4,375,360

26 × 5 × 112 × 113
Abundant Even Composite

4,375,360 has digital root 1. The neighboring primes are 4375331 and 4375363; its proper-divisor sum differs from the starting integer by 2,802,724.

Prime Factor Structure

Factorization String 2^6 × 5 × 11^2 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 11,553,444
Proper Divisor Sum 7,178,084
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4375331 ← → #4375363

Radix Representation

Decimal 4375360
Binary 10000101100001101000000 (23 bits)
Octal 0o20541500
Hexadecimal 0x42C340

Divisor Catalog (60 of 84)

1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 113 121 160 176 220 226 242 320 352 440 452 484 565 605 704 880 904 968 1,130 1,210 1,243 1,760 1,808 1,936 2,260 2,420 2,486 3,520 3,616 3,872 4,520 4,840 4,972 6,215 7,232 7,744 9,040 9,680 9,944 12,430 13,673 18,080

Collatz Trajectory (136 steps to reach 1)

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

4,375,360 2,187,680 1,093,840 546,920 273,460 136,730 68,365 205,096 102,548 51,274 25,637 76,912 38,456 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

More profiles

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