3,078,351

3³ × 114013

3,078,351 factors as 3^3 × 114013. Its 8 positive divisors give a proper-divisor sum of 1,482,209, so this integer is deficient. The Collatz stopping time is 332 steps.

Prime Factor Structure

Factorization String 3^3 × 114013

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,560,560

Proper Divisor Sum 1,482,209

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3078329 ← → #3078367

Radix Representation

Decimal	3078351
Binary	1011101111100011001111 (22 bits)
Octal	0o13574317
Hexadecimal	0x2EF8CF

Divisor Catalog (8)

1 3 9 27 114,013 342,039 1,026,117 3,078,351

Collatz Trajectory (332 steps to reach 1)

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

3,078,351 9,235,054 4,617,527 13,852,582 6,926,291 20,778,874 10,389,437 31,168,312 15,584,156 7,792,078 3,896,039 11,688,118 5,844,059 17,532,178 8,766,089 26,298,268 13,149,134 6,574,567 19,723,702 9,861,851 29,585,554 14,792,777 44,378,332 22,189,166 11,094,583 33,283,750 16,641,875 49,925,626 24,962,813 74,888,440 37,444,220 18,722,110 9,361,055 28,083,166 14,041,583 42,124,750 21,062,375 63,187,126 31,593,563 94,780,690 47,390,345 142,171,036 71,085,518 35,542,759 106,628,278 53,314,139 159,942,418 79,971,209 239,913,628 119,956,814 59,978,407 179,935,222 89,967,611 269,902,834 134,951,417 404,854,252 202,427,126 101,213,563 303,640,690 151,820,345

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