λ
Harmonic Matrix

7,771,790

2 × 5 × 13 × 191 × 313
Deficient Even Composite

7,771,790 has digital root 2. The neighboring primes are 7771787 and 7771811; its proper-divisor sum differs from the starting integer by -351,004.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 191 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,192,576
Proper Divisor Sum 7,420,786
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7771787 ← → #7771811

Radix Representation

Decimal 7771790
Binary 11101101001011010001110 (23 bits)
Octal 0o35513216
Hexadecimal 0x76968E

Divisor Catalog (32)

1 2 5 10 13 26 65 130 191 313 382 626 955 1,565 1,910 2,483 3,130 4,069 4,966 8,138 12,415 20,345 24,830 40,690 59,783 119,566 298,915 597,830 777,179 1,554,358 3,885,895 7,771,790

Collatz Trajectory (217 steps to reach 1)

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

7,771,790 3,885,895 11,657,686 5,828,843 17,486,530 8,743,265 26,229,796 13,114,898 6,557,449 19,672,348 9,836,174 4,918,087 14,754,262 7,377,131 22,131,394 11,065,697 33,197,092 16,598,546 8,299,273 24,897,820 12,448,910 6,224,455 18,673,366 9,336,683 28,010,050 14,005,025 42,015,076 21,007,538 10,503,769 31,511,308 15,755,654 7,877,827 23,633,482 11,816,741 35,450,224 17,725,112 8,862,556 4,431,278 2,215,639 6,646,918 3,323,459 9,970,378 4,985,189 14,955,568 7,477,784 3,738,892 1,869,446 934,723 2,804,170 1,402,085 4,206,256 2,103,128 1,051,564 525,782 262,891 788,674 394,337 1,183,012 591,506 295,753

More profiles

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