4,047,993

3² × 83 × 5419

4,047,993 factors as 3^2 × 83 × 5419. Its 12 positive divisors give a proper-divisor sum of 1,870,647, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3^2 × 83 × 5419

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,918,640

Proper Divisor Sum 1,870,647

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4047991 ← → #4047997

Radix Representation

Decimal	4047993
Binary	1111011100010001111001 (22 bits)
Octal	0o17342171
Hexadecimal	0x3DC479

Divisor Catalog (12)

1 3 9 83 249 747 5,419 16,257 48,771 449,777 1,349,331 4,047,993

Collatz Trajectory (167 steps to reach 1)

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

4,047,993 12,143,980 6,071,990 3,035,995 9,107,986 4,553,993 13,661,980 6,830,990 3,415,495 10,246,486 5,123,243 15,369,730 7,684,865 23,054,596 11,527,298 5,763,649 17,290,948 8,645,474 4,322,737 12,968,212 6,484,106 3,242,053 9,726,160 4,863,080 2,431,540 1,215,770 607,885 1,823,656 911,828 455,914 227,957 683,872 341,936 170,968 85,484 42,742 21,371 64,114 32,057 96,172 48,086 24,043 72,130 36,065 108,196 54,098 27,049 81,148 40,574 20,287 60,862 30,431 91,294 45,647 136,942 68,471 205,414 102,707 308,122 154,061

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,047,992 Browse Full Index Next Integer #4,047,994 →