λ
Prime Ledger

3,644,791

3644791
Deficient Odd Prime

3,644,791 has the prime decomposition 3644791. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 3644791
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,644,792
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3644761 ← → #3644801

Radix Representation

Decimal 3644791
Binary 1101111001110101110111 (22 bits)
Octal 0o15716567
Hexadecimal 0x379D77

Divisor Catalog (2)

Collatz Trajectory (265 steps to reach 1)

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

3,644,791 10,934,374 5,467,187 16,401,562 8,200,781 24,602,344 12,301,172 6,150,586 3,075,293 9,225,880 4,612,940 2,306,470 1,153,235 3,459,706 1,729,853 5,189,560 2,594,780 1,297,390 648,695 1,946,086 973,043 2,919,130 1,459,565 4,378,696 2,189,348 1,094,674 547,337 1,642,012 821,006 410,503 1,231,510 615,755 1,847,266 923,633 2,770,900 1,385,450 692,725 2,078,176 1,039,088 519,544 259,772 129,886 64,943 194,830 97,415 292,246 146,123 438,370 219,185 657,556 328,778 164,389 493,168 246,584 123,292 61,646 30,823 92,470 46,235 138,706

More profiles

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