λ
Harmonic Matrix

7,310,836

22 × 13 × 140593
Deficient Even Composite

7,310,836 has digital root 1. The neighboring primes are 7310827 and 7310843; its proper-divisor sum differs from the starting integer by -843,460.

Prime Factor Structure

Factorization String 2^2 × 13 × 140593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,778,212
Proper Divisor Sum 6,467,376
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7310827 ← → #7310843

Radix Representation

Decimal 7310836
Binary 11011111000110111110100 (23 bits)
Octal 0o33706764
Hexadecimal 0x6F8DF4

Divisor Catalog (12)

1 2 4 13 26 52 140,593 281,186 562,372 1,827,709 3,655,418 7,310,836

Collatz Trajectory (248 steps to reach 1)

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

7,310,836 3,655,418 1,827,709 5,483,128 2,741,564 1,370,782 685,391 2,056,174 1,028,087 3,084,262 1,542,131 4,626,394 2,313,197 6,939,592 3,469,796 1,734,898 867,449 2,602,348 1,301,174 650,587 1,951,762 975,881 2,927,644 1,463,822 731,911 2,195,734 1,097,867 3,293,602 1,646,801 4,940,404 2,470,202 1,235,101 3,705,304 1,852,652 926,326 463,163 1,389,490 694,745 2,084,236 1,042,118 521,059 1,563,178 781,589 2,344,768 1,172,384 586,192 293,096 146,548 73,274 36,637 109,912 54,956 27,478 13,739 41,218 20,609 61,828 30,914 15,457 46,372

More profiles

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