λ
Prime Ledger

4,182,015

3 × 5 × 278801
Deficient Odd Composite

4,182,015 has the prime decomposition 3 × 5 × 278801. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 278801
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,691,248
Proper Divisor Sum 2,509,233
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4182011 ← → #4182019

Radix Representation

Decimal 4182015
Binary 1111111100111111111111 (22 bits)
Octal 0o17747777
Hexadecimal 0x3FCFFF

Divisor Catalog (8)

1 3 5 15 278,801 836,403 1,394,005 4,182,015

Collatz Trajectory (154 steps to reach 1)

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

4,182,015 12,546,046 6,273,023 18,819,070 9,409,535 28,228,606 14,114,303 42,342,910 21,171,455 63,514,366 31,757,183 95,271,550 47,635,775 142,907,326 71,453,663 214,360,990 107,180,495 321,541,486 160,770,743 482,312,230 241,156,115 723,468,346 361,734,173 1,085,202,520 542,601,260 271,300,630 135,650,315 406,950,946 203,475,473 610,426,420 305,213,210 152,606,605 457,819,816 228,909,908 114,454,954 57,227,477 171,682,432 85,841,216 42,920,608 21,460,304 10,730,152 5,365,076 2,682,538 1,341,269 4,023,808 2,011,904 1,005,952 502,976 251,488 125,744 62,872 31,436 15,718 7,859 23,578 11,789 35,368 17,684 8,842 4,421

More profiles

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