λ
Prime Ledger

3,627,946

2 × 7 × 479 × 541
Deficient Even Composite

3,627,946 has the prime decomposition 2 × 7 × 479 × 541. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 479 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,243,840
Proper Divisor Sum 2,615,894
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3627941 ← → #3627947

Radix Representation

Decimal 3627946
Binary 1101110101101110101010 (22 bits)
Octal 0o15655652
Hexadecimal 0x375BAA

Divisor Catalog (16)

1 2 7 14 479 541 958 1,082 3,353 3,787 6,706 7,574 259,139 518,278 1,813,973 3,627,946

Collatz Trajectory (159 steps to reach 1)

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

3,627,946 1,813,973 5,441,920 2,720,960 1,360,480 680,240 340,120 170,060 85,030 42,515 127,546 63,773 191,320 95,660 47,830 23,915 71,746 35,873 107,620 53,810 26,905 80,716 40,358 20,179 60,538 30,269 90,808 45,404 22,702 11,351 34,054 17,027 51,082 25,541 76,624 38,312 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646

More profiles

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