λ
Harmonic Matrix

9,127,588

22 × 472 × 1033
Deficient Even Composite

9,127,588 has digital root 4. The neighboring primes are 9127583 and 9127597; its proper-divisor sum differs from the starting integer by -1,919,010.

Prime Factor Structure

Factorization String 2^2 × 47^2 × 1033
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 16,336,166
Proper Divisor Sum 7,208,578
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9127583 ← → #9127597

Radix Representation

Decimal 9127588
Binary 100010110100011010100100 (24 bits)
Octal 0o42643244
Hexadecimal 0x8B46A4

Divisor Catalog (18)

1 2 4 47 94 188 1,033 2,066 2,209 4,132 4,418 8,836 48,551 97,102 194,204 2,281,897 4,563,794 9,127,588

Collatz Trajectory (119 steps to reach 1)

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

9,127,588 4,563,794 2,281,897 6,845,692 3,422,846 1,711,423 5,134,270 2,567,135 7,701,406 3,850,703 11,552,110 5,776,055 17,328,166 8,664,083 25,992,250 12,996,125 38,988,376 19,494,188 9,747,094 4,873,547 14,620,642 7,310,321 21,930,964 10,965,482 5,482,741 16,448,224 8,224,112 4,112,056 2,056,028 1,028,014 514,007 1,542,022 771,011 2,313,034 1,156,517 3,469,552 1,734,776 867,388 433,694 216,847 650,542 325,271 975,814 487,907 1,463,722 731,861 2,195,584 1,097,792 548,896 274,448 137,224 68,612 34,306 17,153 51,460 25,730 12,865 38,596 19,298 9,649

More profiles

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