λ
Harmonic Matrix

7,656,796

22 × 7 × 273457
Abundant Even Composite

7,656,796 has digital root 1. The neighboring primes are 7656787 and 7656809; its proper-divisor sum differs from the starting integer by 56.

Prime Factor Structure

Factorization String 2^2 × 7 × 273457
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,313,648
Proper Divisor Sum 7,656,852
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #7656787 ← → #7656809

Radix Representation

Decimal 7656796
Binary 11101001101010101011100 (23 bits)
Octal 0o35152534
Hexadecimal 0x74D55C

Divisor Catalog (12)

1 2 4 7 14 28 273,457 546,914 1,093,828 1,914,199 3,828,398 7,656,796

Collatz Trajectory (173 steps to reach 1)

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

7,656,796 3,828,398 1,914,199 5,742,598 2,871,299 8,613,898 4,306,949 12,920,848 6,460,424 3,230,212 1,615,106 807,553 2,422,660 1,211,330 605,665 1,816,996 908,498 454,249 1,362,748 681,374 340,687 1,022,062 511,031 1,533,094 766,547 2,299,642 1,149,821 3,449,464 1,724,732 862,366 431,183 1,293,550 646,775 1,940,326 970,163 2,910,490 1,455,245 4,365,736 2,182,868 1,091,434 545,717 1,637,152 818,576 409,288 204,644 102,322 51,161 153,484 76,742 38,371 115,114 57,557 172,672 86,336 43,168 21,584 10,792 5,396 2,698 1,349

More profiles

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