7,836,796

2² × 11 × 17 × 10477

7,836,796 has digital root 1. The neighboring primes are 7836791 and 7836823; its proper-divisor sum differs from the starting integer by 169,144.

Prime Factor Structure

Factorization String 2^2 × 11 × 17 × 10477

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,842,736

Proper Divisor Sum 8,005,940

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #7836791 ← → #7836823

Radix Representation

Decimal	7836796
Binary	11101111001010001111100 (23 bits)
Octal	0o35712174
Hexadecimal	0x77947C

Divisor Catalog (24)

1 2 4 11 17 22 34 44 68 187 374 748 10,477 20,954 41,908 115,247 178,109 230,494 356,218 460,988 712,436 1,959,199 3,918,398 7,836,796

Collatz Trajectory (186 steps to reach 1)

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

7,836,796 3,918,398 1,959,199 5,877,598 2,938,799 8,816,398 4,408,199 13,224,598 6,612,299 19,836,898 9,918,449 29,755,348 14,877,674 7,438,837 22,316,512 11,158,256 5,579,128 2,789,564 1,394,782 697,391 2,092,174 1,046,087 3,138,262 1,569,131 4,707,394 2,353,697 7,061,092 3,530,546 1,765,273 5,295,820 2,647,910 1,323,955 3,971,866 1,985,933 5,957,800 2,978,900 1,489,450 744,725 2,234,176 1,117,088 558,544 279,272 139,636 69,818 34,909 104,728 52,364 26,182 13,091 39,274 19,637 58,912 29,456 14,728 7,364 3,682 1,841 5,524 2,762 1,381

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