λ
Harmonic Matrix

4,215,020

22 × 5 × 73 × 2887
Abundant Even Composite

4,215,020 has digital root 5. The neighboring primes are 4215011 and 4215023; its proper-divisor sum differs from the starting integer by 545,864.

Prime Factor Structure

Factorization String 2^2 × 5 × 73 × 2887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,975,904
Proper Divisor Sum 4,760,884
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #4215011 ← → #4215023

Radix Representation

Decimal 4215020
Binary 10000000101000011101100 (23 bits)
Octal 0o20050354
Hexadecimal 0x4050EC

Divisor Catalog (24)

1 2 4 5 10 20 73 146 292 365 730 1,460 2,887 5,774 11,548 14,435 28,870 57,740 210,751 421,502 843,004 1,053,755 2,107,510 4,215,020

Collatz Trajectory (229 steps to reach 1)

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

4,215,020 2,107,510 1,053,755 3,161,266 1,580,633 4,741,900 2,370,950 1,185,475 3,556,426 1,778,213 5,334,640 2,667,320 1,333,660 666,830 333,415 1,000,246 500,123 1,500,370 750,185 2,250,556 1,125,278 562,639 1,687,918 843,959 2,531,878 1,265,939 3,797,818 1,898,909 5,696,728 2,848,364 1,424,182 712,091 2,136,274 1,068,137 3,204,412 1,602,206 801,103 2,403,310 1,201,655 3,604,966 1,802,483 5,407,450 2,703,725 8,111,176 4,055,588 2,027,794 1,013,897 3,041,692 1,520,846 760,423 2,281,270 1,140,635 3,421,906 1,710,953 5,132,860 2,566,430 1,283,215 3,849,646 1,924,823 5,774,470

More profiles

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