3,336,765

3 × 5 × 47 × 4733

3,336,765 factors as 3 × 5 × 47 × 4733. Its 16 positive divisors give a proper-divisor sum of 2,116,803, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 3 × 5 × 47 × 4733

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,453,568

Proper Divisor Sum 2,116,803

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3336731 ← → #3336779

Radix Representation

Decimal	3336765
Binary	1100101110101000111101 (22 bits)
Octal	0o14565075
Hexadecimal	0x32EA3D

Divisor Catalog (16)

1 3 5 15 47 141 235 705 4,733 14,199 23,665 70,995 222,451 667,353 1,112,255 3,336,765

Collatz Trajectory (177 steps to reach 1)

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

3,336,765 10,010,296 5,005,148 2,502,574 1,251,287 3,753,862 1,876,931 5,630,794 2,815,397 8,446,192 4,223,096 2,111,548 1,055,774 527,887 1,583,662 791,831 2,375,494 1,187,747 3,563,242 1,781,621 5,344,864 2,672,432 1,336,216 668,108 334,054 167,027 501,082 250,541 751,624 375,812 187,906 93,953 281,860 140,930 70,465 211,396 105,698 52,849 158,548 79,274 39,637 118,912 59,456 29,728 14,864 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,336,764 Browse Full Index Next Integer #3,336,766 →