λ
Prime Ledger

2,965,026

2 × 3 × 19 × 31 × 839
Abundant Even Composite

2,965,026 has the prime decomposition 2 × 3 × 19 × 31 × 839. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 31 × 839
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,451,200
Proper Divisor Sum 3,486,174
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2965019 ← → #2965033

Radix Representation

Decimal 2965026
Binary 1011010011111000100010 (22 bits)
Octal 0o13237042
Hexadecimal 0x2D3E22

Divisor Catalog (32)

1 2 3 6 19 31 38 57 62 93 114 186 589 839 1,178 1,678 1,767 2,517 3,534 5,034 15,941 26,009 31,882 47,823 52,018 78,027 95,646 156,054 494,171 988,342 1,482,513 2,965,026

Collatz Trajectory (89 steps to reach 1)

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

2,965,026 1,482,513 4,447,540 2,223,770 1,111,885 3,335,656 1,667,828 833,914 416,957 1,250,872 625,436 312,718 156,359 469,078 234,539 703,618 351,809 1,055,428 527,714 263,857 791,572 395,786 197,893 593,680 296,840 148,420 74,210 37,105 111,316 55,658 27,829 83,488 41,744 20,872 10,436 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524

More profiles

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