λ
Harmonic Matrix

6,112,748

22 × 1528187
Deficient Even Composite

6,112,748 has digital root 2. The neighboring primes are 6112747 and 6112763; its proper-divisor sum differs from the starting integer by -1,528,180.

Prime Factor Structure

Factorization String 2^2 × 1528187
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,697,316
Proper Divisor Sum 4,584,568
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6112747 ← → #6112763

Radix Representation

Decimal 6112748
Binary 10111010100010111101100 (23 bits)
Octal 0o27242754
Hexadecimal 0x5D45EC

Divisor Catalog (6)

1 2 4 1,528,187 3,056,374 6,112,748

Collatz Trajectory (227 steps to reach 1)

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

6,112,748 3,056,374 1,528,187 4,584,562 2,292,281 6,876,844 3,438,422 1,719,211 5,157,634 2,578,817 7,736,452 3,868,226 1,934,113 5,802,340 2,901,170 1,450,585 4,351,756 2,175,878 1,087,939 3,263,818 1,631,909 4,895,728 2,447,864 1,223,932 611,966 305,983 917,950 458,975 1,376,926 688,463 2,065,390 1,032,695 3,098,086 1,549,043 4,647,130 2,323,565 6,970,696 3,485,348 1,742,674 871,337 2,614,012 1,307,006 653,503 1,960,510 980,255 2,940,766 1,470,383 4,411,150 2,205,575 6,616,726 3,308,363 9,925,090 4,962,545 14,887,636 7,443,818 3,721,909 11,165,728 5,582,864 2,791,432 1,395,716

More profiles

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