5,978,052

2² × 3² × 211 × 787

5,978,052 has digital root 9. The neighboring primes are 5978051 and 5978059; its proper-divisor sum differs from the starting integer by 3,245,992.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 211 × 787

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 15,202,096

Proper Divisor Sum 9,224,044

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5978051 ← → #5978059

Radix Representation

Decimal	5978052
Binary	10110110011011111000100 (23 bits)
Octal	0o26633704
Hexadecimal	0x5B37C4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 211 422 633 787 844 1,266 1,574 1,899 2,361 2,532 3,148 3,798 4,722 7,083 7,596 9,444 14,166 28,332 166,057 332,114 498,171 664,228 996,342 1,494,513 1,992,684 2,989,026 5,978,052

Collatz Trajectory (139 steps to reach 1)

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

5,978,052 2,989,026 1,494,513 4,483,540 2,241,770 1,120,885 3,362,656 1,681,328 840,664 420,332 210,166 105,083 315,250 157,625 472,876 236,438 118,219 354,658 177,329 531,988 265,994 132,997 398,992 199,496 99,748 49,874 24,937 74,812 37,406 18,703 56,110 28,055 84,166 42,083 126,250 63,125 189,376 94,688 47,344 23,672 11,836 5,918 2,959 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054

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