λ
Prime Ledger

2,161,240

23 × 5 × 71 × 761
Abundant Even Composite

2,161,240 has the prime decomposition 2^3 × 5 × 71 × 761. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 71 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,937,760
Proper Divisor Sum 2,776,520
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2161213 ← → #2161253

Radix Representation

Decimal 2161240
Binary 1000001111101001011000 (22 bits)
Octal 0o10175130
Hexadecimal 0x20FA58

Divisor Catalog (32)

1 2 4 5 8 10 20 40 71 142 284 355 568 710 761 1,420 1,522 2,840 3,044 3,805 6,088 7,610 15,220 30,440 54,031 108,062 216,124 270,155 432,248 540,310 1,080,620 2,161,240

Collatz Trajectory (65 steps to reach 1)

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

2,161,240 1,080,620 540,310 270,155 810,466 405,233 1,215,700 607,850 303,925 911,776 455,888 227,944 113,972 56,986 28,493 85,480 42,740 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64

More profiles

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