λ
Prime Ledger

4,055,745

3 × 5 × 127 × 2129
Deficient Odd Composite

4,055,745 has the prime decomposition 3 × 5 × 127 × 2129. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 127 × 2129
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,543,360
Proper Divisor Sum 2,487,615
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4055687 ← → #4055747

Radix Representation

Decimal 4055745
Binary 1111011110001011000001 (22 bits)
Octal 0o17361301
Hexadecimal 0x3DE2C1

Divisor Catalog (16)

1 3 5 15 127 381 635 1,905 2,129 6,387 10,645 31,935 270,383 811,149 1,351,915 4,055,745

Collatz Trajectory (110 steps to reach 1)

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

4,055,745 12,167,236 6,083,618 3,041,809 9,125,428 4,562,714 2,281,357 6,844,072 3,422,036 1,711,018 855,509 2,566,528 1,283,264 641,632 320,816 160,408 80,204 40,102 20,051 60,154 30,077 90,232 45,116 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719

More profiles

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