λ
Prime Ledger

772,177

7 × 110311
Deficient Odd Composite

772,177 has the prime decomposition 7 × 110311. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 110311
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 882,496
Proper Divisor Sum 110,319
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #772169 ← → #772181

Radix Representation

Decimal 772177
Binary 10111100100001010001 (20 bits)
Octal 0o2744121
Hexadecimal 0xBC851

Divisor Catalog (4)

1 7 110,311 772,177

Collatz Trajectory (211 steps to reach 1)

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

772,177 2,316,532 1,158,266 579,133 1,737,400 868,700 434,350 217,175 651,526 325,763 977,290 488,645 1,465,936 732,968 366,484 183,242 91,621 274,864 137,432 68,716 34,358 17,179 51,538 25,769 77,308 38,654 19,327 57,982 28,991 86,974 43,487 130,462 65,231 195,694 97,847 293,542 146,771 440,314 220,157 660,472 330,236 165,118 82,559 247,678 123,839 371,518 185,759 557,278 278,639 835,918 417,959 1,253,878 626,939 1,880,818 940,409 2,821,228 1,410,614 705,307 2,115,922 1,057,961

More profiles

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