λ
Prime Ledger

7,730,161

313 × 24697
Deficient Odd Composite

7,730,161 has the prime decomposition 313 × 24697. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 313 × 24697
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,755,172
Proper Divisor Sum 25,011
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7730147 ← → #7730167

Radix Representation

Decimal 7730161
Binary 11101011111001111110001 (23 bits)
Octal 0o35371761
Hexadecimal 0x75F3F1

Divisor Catalog (4)

1 313 24,697 7,730,161

Collatz Trajectory (155 steps to reach 1)

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

7,730,161 23,190,484 11,595,242 5,797,621 17,392,864 8,696,432 4,348,216 2,174,108 1,087,054 543,527 1,630,582 815,291 2,445,874 1,222,937 3,668,812 1,834,406 917,203 2,751,610 1,375,805 4,127,416 2,063,708 1,031,854 515,927 1,547,782 773,891 2,321,674 1,160,837 3,482,512 1,741,256 870,628 435,314 217,657 652,972 326,486 163,243 489,730 244,865 734,596 367,298 183,649 550,948 275,474 137,737 413,212 206,606 103,303 309,910 154,955 464,866 232,433 697,300 348,650 174,325 522,976 261,488 130,744 65,372 32,686 16,343 49,030

More profiles

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