2,018,752

2⁶ × 31543

2,018,752 factors as 2^6 × 31543. Its 14 positive divisors give a proper-divisor sum of 1,987,336, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^6 × 31543

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 4,006,088

Proper Divisor Sum 1,987,336

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2018749 ← → #2018761

Radix Representation

Decimal	2018752
Binary	111101100110111000000 (21 bits)
Octal	0o7546700
Hexadecimal	0x1ECDC0

Divisor Catalog (14)

1 2 4 8 16 32 64 31,543 63,086 126,172 252,344 504,688 1,009,376 2,018,752

Collatz Trajectory (91 steps to reach 1)

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

2,018,752 1,009,376 504,688 252,344 126,172 63,086 31,543 94,630 47,315 141,946 70,973 212,920 106,460 53,230 26,615 79,846 39,923 119,770 59,885 179,656 89,828 44,914 22,457 67,372 33,686 16,843 50,530 25,265 75,796 37,898 18,949 56,848 28,424 14,212 7,106 3,553 10,660 5,330 2,665 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356

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