λ
Prime Ledger

4,923,276

22 × 3 × 53 × 7741
Abundant Even Composite

4,923,276 has the prime decomposition 2^2 × 3 × 53 × 7741. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 53 × 7741
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,705,904
Proper Divisor Sum 6,782,628
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4923253 ← → #4923277

Radix Representation

Decimal 4923276
Binary 10010110001111110001100 (23 bits)
Octal 0o22617614
Hexadecimal 0x4B1F8C

Divisor Catalog (24)

1 2 3 4 6 12 53 106 159 212 318 636 7,741 15,482 23,223 30,964 46,446 92,892 410,273 820,546 1,230,819 1,641,092 2,461,638 4,923,276

Collatz Trajectory (175 steps to reach 1)

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

4,923,276 2,461,638 1,230,819 3,692,458 1,846,229 5,538,688 2,769,344 1,384,672 692,336 346,168 173,084 86,542 43,271 129,814 64,907 194,722 97,361 292,084 146,042 73,021 219,064 109,532 54,766 27,383 82,150 41,075 123,226 61,613 184,840 92,420 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828 914 457 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145

More profiles

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