42,142,936

2³ × 11 × 478897

42,142,936 factors as 2^3 × 11 × 478897. Its 16 positive divisors give a proper-divisor sum of 44,058,704, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 478897

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 86,201,640

Proper Divisor Sum 44,058,704

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #42142927 ← → #42142937

Radix Representation

Decimal	42142936
Binary	10100000110000110011011000 (26 bits)
Octal	0o240606330
Hexadecimal	0x2830CD8

Divisor Catalog (16)

1 2 4 8 11 22 44 88 478,897 957,794 1,915,588 3,831,176 5,267,867 10,535,734 21,071,468 42,142,936

Collatz Trajectory (191 steps to reach 1)

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

42,142,936 21,071,468 10,535,734 5,267,867 15,803,602 7,901,801 23,705,404 11,852,702 5,926,351 17,779,054 8,889,527 26,668,582 13,334,291 40,002,874 20,001,437 60,004,312 30,002,156 15,001,078 7,500,539 22,501,618 11,250,809 33,752,428 16,876,214 8,438,107 25,314,322 12,657,161 37,971,484 18,985,742 9,492,871 28,478,614 14,239,307 42,717,922 21,358,961 64,076,884 32,038,442 16,019,221 48,057,664 24,028,832 12,014,416 6,007,208 3,003,604 1,501,802 750,901 2,252,704 1,126,352 563,176 281,588 140,794 70,397 211,192 105,596 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298

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