λ
Harmonic Matrix

2,013,212

22 × 503303
Deficient Even Composite

2,013,212 has digital root 2. The neighboring primes are 2013197 and 2013227; its proper-divisor sum differs from the starting integer by -503,296.

Prime Factor Structure

Factorization String 2^2 × 503303
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 3,523,128
Proper Divisor Sum 1,509,916
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #2013197 ← → #2013227

Radix Representation

Decimal 2013212
Binary 111101011100000011100 (21 bits)
Octal 0o7534034
Hexadecimal 0x1EB81C

Divisor Catalog (6)

1 2 4 503,303 1,006,606 2,013,212

Collatz Trajectory (91 steps to reach 1)

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

2,013,212 1,006,606 503,303 1,509,910 754,955 2,264,866 1,132,433 3,397,300 1,698,650 849,325 2,547,976 1,273,988 636,994 318,497 955,492 477,746 238,873 716,620 358,310 179,155 537,466 268,733 806,200 403,100 201,550 100,775 302,326 151,163 453,490 226,745 680,236 340,118 170,059 510,178 255,089 765,268 382,634 191,317 573,952 286,976 143,488 71,744 35,872 17,936 8,968 4,484 2,242 1,121 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132

More profiles

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