λ
Prime Ledger

2,910,728

23 × 363841
Deficient Even Composite

2,910,728 has the prime decomposition 2^3 × 363841. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 363841
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,457,630
Proper Divisor Sum 2,546,902
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2910709 ← → #2910731

Radix Representation

Decimal 2910728
Binary 1011000110101000001000 (22 bits)
Octal 0o13065010
Hexadecimal 0x2C6A08

Divisor Catalog (8)

1 2 4 8 363,841 727,682 1,455,364 2,910,728

Collatz Trajectory (138 steps to reach 1)

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

2,910,728 1,455,364 727,682 363,841 1,091,524 545,762 272,881 818,644 409,322 204,661 613,984 306,992 153,496 76,748 38,374 19,187 57,562 28,781 86,344 43,172 21,586 10,793 32,380 16,190 8,095 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 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 24,623 73,870 36,935 110,806

More profiles

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