λ
Prime Ledger

4,014,888

23 × 3 × 131 × 1277
Abundant Even Composite

4,014,888 has the prime decomposition 2^3 × 3 × 131 × 1277. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 131 × 1277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,121,760
Proper Divisor Sum 6,106,872
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4014887 ← → #4014889

Radix Representation

Decimal 4014888
Binary 1111010100001100101000 (22 bits)
Octal 0o17241450
Hexadecimal 0x3D4328

Divisor Catalog (32)

1 2 3 4 6 8 12 24 131 262 393 524 786 1,048 1,277 1,572 2,554 3,144 3,831 5,108 7,662 10,216 15,324 30,648 167,287 334,574 501,861 669,148 1,003,722 1,338,296 2,007,444 4,014,888

Collatz Trajectory (66 steps to reach 1)

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

4,014,888 2,007,444 1,003,722 501,861 1,505,584 752,792 376,396 188,198 94,099 282,298 141,149 423,448 211,724 105,862 52,931 158,794 79,397 238,192 119,096 59,548 29,774 14,887 44,662 22,331 66,994 33,497 100,492 50,246 25,123 75,370 37,685 113,056 56,528 28,264 14,132 7,066 3,533 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20

More profiles

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