λ
Harmonic Matrix

2,843,772

22 × 3 × 236981
Abundant Even Composite

2,843,772 has digital root 6. The neighboring primes are 2843767 and 2843791; its proper-divisor sum differs from the starting integer by 947,952.

Prime Factor Structure

Factorization String 2^2 × 3 × 236981
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,635,496
Proper Divisor Sum 3,791,724
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2843767 ← → #2843791

Radix Representation

Decimal 2843772
Binary 1010110110010001111100 (22 bits)
Octal 0o12662174
Hexadecimal 0x2B647C

Divisor Catalog (12)

1 2 3 4 6 12 236,981 473,962 710,943 947,924 1,421,886 2,843,772

Collatz Trajectory (200 steps to reach 1)

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

2,843,772 1,421,886 710,943 2,132,830 1,066,415 3,199,246 1,599,623 4,798,870 2,399,435 7,198,306 3,599,153 10,797,460 5,398,730 2,699,365 8,098,096 4,049,048 2,024,524 1,012,262 506,131 1,518,394 759,197 2,277,592 1,138,796 569,398 284,699 854,098 427,049 1,281,148 640,574 320,287 960,862 480,431 1,441,294 720,647 2,161,942 1,080,971 3,242,914 1,621,457 4,864,372 2,432,186 1,216,093 3,648,280 1,824,140 912,070 456,035 1,368,106 684,053 2,052,160 1,026,080 513,040 256,520 128,260 64,130 32,065 96,196 48,098 24,049 72,148 36,074 18,037

More profiles

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