λ
Prime Ledger

8,244,033

3 × 7 × 29 × 13537
Deficient Odd Composite

8,244,033 has the prime decomposition 3 × 7 × 29 × 13537. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 29 × 13537
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,996,480
Proper Divisor Sum 4,752,447
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8244013 ← → #8244053

Radix Representation

Decimal 8244033
Binary 11111011100101101000001 (23 bits)
Octal 0o37345501
Hexadecimal 0x7DCB41

Divisor Catalog (16)

1 3 7 21 29 87 203 609 13,537 40,611 94,759 284,277 392,573 1,177,719 2,748,011 8,244,033

Collatz Trajectory (217 steps to reach 1)

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

8,244,033 24,732,100 12,366,050 6,183,025 18,549,076 9,274,538 4,637,269 13,911,808 6,955,904 3,477,952 1,738,976 869,488 434,744 217,372 108,686 54,343 163,030 81,515 244,546 122,273 366,820 183,410 91,705 275,116 137,558 68,779 206,338 103,169 309,508 154,754 77,377 232,132 116,066 58,033 174,100 87,050 43,525 130,576 65,288 32,644 16,322 8,161 24,484 12,242 6,121 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306

More profiles

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