λ
Modular Archive

772,779

3 × 73 × 751
Deficient Odd Composite

The decimal integer 772,779 is 10111100101010101011 in binary (20 bits), 2745253 in octal and BCAAB in hexadecimal. Its digit sum is 39.

Prime Factor Structure

Factorization String 3 × 7^3 × 751
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,203,200
Proper Divisor Sum 430,421
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #772771 ← → #772789

Radix Representation

Decimal 772779
Binary 10111100101010101011 (20 bits)
Octal 0o2745253
Hexadecimal 0xBCAAB

Divisor Catalog (16)

1 3 7 21 49 147 343 751 1,029 2,253 5,257 15,771 36,799 110,397 257,593 772,779

Collatz Trajectory (162 steps to reach 1)

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

772,779 2,318,338 1,159,169 3,477,508 1,738,754 869,377 2,608,132 1,304,066 652,033 1,956,100 978,050 489,025 1,467,076 733,538 366,769 1,100,308 550,154 275,077 825,232 412,616 206,308 103,154 51,577 154,732 77,366 38,683 116,050 58,025 174,076 87,038 43,519 130,558 65,279 195,838 97,919 293,758 146,879 440,638 220,319 660,958 330,479 991,438 495,719 1,487,158 743,579 2,230,738 1,115,369 3,346,108 1,673,054 836,527 2,509,582 1,254,791 3,764,374 1,882,187 5,646,562 2,823,281 8,469,844 4,234,922 2,117,461 6,352,384

More profiles

← Previous Integer #772,778 Browse Full Index Next Integer #772,780 →