λ
Prime Ledger

7,763,097

3 × 29 × 89231
Deficient Odd Composite

7,763,097 has the prime decomposition 3 × 29 × 89231. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 89231
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,707,840
Proper Divisor Sum 2,944,743
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7763083 ← → #7763099

Radix Representation

Decimal 7763097
Binary 11101100111010010011001 (23 bits)
Octal 0o35472231
Hexadecimal 0x767499

Divisor Catalog (8)

1 3 29 87 89,231 267,693 2,587,699 7,763,097

Collatz Trajectory (142 steps to reach 1)

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

7,763,097 23,289,292 11,644,646 5,822,323 17,466,970 8,733,485 26,200,456 13,100,228 6,550,114 3,275,057 9,825,172 4,912,586 2,456,293 7,368,880 3,684,440 1,842,220 921,110 460,555 1,381,666 690,833 2,072,500 1,036,250 518,125 1,554,376 777,188 388,594 194,297 582,892 291,446 145,723 437,170 218,585 655,756 327,878 163,939 491,818 245,909 737,728 368,864 184,432 92,216 46,108 23,054 11,527 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246

More profiles

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