λ
Modular Archive

4,200,170

2 × 5 × 13 × 32309
Deficient Even Composite

The decimal integer 4,200,170 is 10000000001011011101010 in binary (23 bits), 20013352 in octal and 4016EA in hexadecimal. Its digit sum is 14.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 32309
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,142,120
Proper Divisor Sum 3,941,950
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #4200167 ← → #4200187

Radix Representation

Decimal 4200170
Binary 10000000001011011101010 (23 bits)
Octal 0o20013352
Hexadecimal 0x4016EA

Divisor Catalog (16)

1 2 5 10 13 26 65 130 32,309 64,618 161,545 323,090 420,017 840,034 2,100,085 4,200,170

Collatz Trajectory (229 steps to reach 1)

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

4,200,170 2,100,085 6,300,256 3,150,128 1,575,064 787,532 393,766 196,883 590,650 295,325 885,976 442,988 221,494 110,747 332,242 166,121 498,364 249,182 124,591 373,774 186,887 560,662 280,331 840,994 420,497 1,261,492 630,746 315,373 946,120 473,060 236,530 118,265 354,796 177,398 88,699 266,098 133,049 399,148 199,574 99,787 299,362 149,681 449,044 224,522 112,261 336,784 168,392 84,196 42,098 21,049 63,148 31,574 15,787 47,362 23,681 71,044 35,522 17,761 53,284 26,642

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