λ
Prime Ledger

773,919

32 × 85991
Deficient Odd Composite

773,919 has the prime decomposition 3^2 × 85991. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 85991
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,117,896
Proper Divisor Sum 343,977
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #773909 ← → #773933

Radix Representation

Decimal 773919
Binary 10111100111100011111 (20 bits)
Octal 0o2747437
Hexadecimal 0xBCF1F

Divisor Catalog (6)

1 3 9 85,991 257,973 773,919

Collatz Trajectory (131 steps to reach 1)

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

773,919 2,321,758 1,160,879 3,482,638 1,741,319 5,223,958 2,611,979 7,835,938 3,917,969 11,753,908 5,876,954 2,938,477 8,815,432 4,407,716 2,203,858 1,101,929 3,305,788 1,652,894 826,447 2,479,342 1,239,671 3,719,014 1,859,507 5,578,522 2,789,261 8,367,784 4,183,892 2,091,946 1,045,973 3,137,920 1,568,960 784,480 392,240 196,120 98,060 49,030 24,515 73,546 36,773 110,320 55,160 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740

More profiles

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