λ
Harmonic Matrix

5,123,740

22 × 5 × 256187
Abundant Even Composite

5,123,740 has digital root 4. The neighboring primes are 5123719 and 5123743; its proper-divisor sum differs from the starting integer by 512,416.

Prime Factor Structure

Factorization String 2^2 × 5 × 256187
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,759,896
Proper Divisor Sum 5,636,156
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5123719 ← → #5123743

Radix Representation

Decimal 5123740
Binary 10011100010111010011100 (23 bits)
Octal 0o23427234
Hexadecimal 0x4E2E9C

Divisor Catalog (12)

1 2 4 5 10 20 256,187 512,374 1,024,748 1,280,935 2,561,870 5,123,740

Collatz Trajectory (206 steps to reach 1)

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

5,123,740 2,561,870 1,280,935 3,842,806 1,921,403 5,764,210 2,882,105 8,646,316 4,323,158 2,161,579 6,484,738 3,242,369 9,727,108 4,863,554 2,431,777 7,295,332 3,647,666 1,823,833 5,471,500 2,735,750 1,367,875 4,103,626 2,051,813 6,155,440 3,077,720 1,538,860 769,430 384,715 1,154,146 577,073 1,731,220 865,610 432,805 1,298,416 649,208 324,604 162,302 81,151 243,454 121,727 365,182 182,591 547,774 273,887 821,662 410,831 1,232,494 616,247 1,848,742 924,371 2,773,114 1,386,557 4,159,672 2,079,836 1,039,918 519,959 1,559,878 779,939 2,339,818 1,169,909

More profiles

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