λ
Harmonic Matrix

5,876,752

24 × 7 × 137 × 383
Abundant Even Composite

5,876,752 has digital root 4. The neighboring primes are 5876743 and 5876797; its proper-divisor sum differs from the starting integer by 1,388,512.

Prime Factor Structure

Factorization String 2^4 × 7 × 137 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,142,016
Proper Divisor Sum 7,265,264
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5876743 ← → #5876797

Radix Representation

Decimal 5876752
Binary 10110011010110000010000 (23 bits)
Octal 0o26326020
Hexadecimal 0x59AC10

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 137 274 383 548 766 959 1,096 1,532 1,918 2,192 2,681 3,064 3,836 5,362 6,128 7,672 10,724 15,344 21,448 42,896 52,471 104,942 209,884 367,297 419,768 734,594 839,536 1,469,188 2,938,376 5,876,752

Collatz Trajectory (90 steps to reach 1)

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

5,876,752 2,938,376 1,469,188 734,594 367,297 1,101,892 550,946 275,473 826,420 413,210 206,605 619,816 309,908 154,954 77,477 232,432 116,216 58,108 29,054 14,527 43,582 21,791 65,374 32,687 98,062 49,031 147,094 73,547 220,642 110,321 330,964 165,482 82,741 248,224 124,112 62,056 31,028 15,514 7,757 23,272 11,636 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173

More profiles

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