3,772,657

7³ × 17 × 647

3,772,657 is odd and not a perfect square. Its factorization is 7^3 × 17 × 647 and its 16 divisors sum to 4,665,600.

Prime Factor Structure

Factorization String 7^3 × 17 × 647

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,665,600

Proper Divisor Sum 892,943

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3772633 ← → #3772679

Radix Representation

Decimal	3772657
Binary	1110011001000011110001 (22 bits)
Octal	0o16310361
Hexadecimal	0x3990F1

Divisor Catalog (16)

1 7 17 49 119 343 647 833 4,529 5,831 10,999 31,703 76,993 221,921 538,951 3,772,657

Collatz Trajectory (110 steps to reach 1)

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

3,772,657 11,317,972 5,658,986 2,829,493 8,488,480 4,244,240 2,122,120 1,061,060 530,530 265,265 795,796 397,898 198,949 596,848 298,424 149,212 74,606 37,303 111,910 55,955 167,866 83,933 251,800 125,900 62,950 31,475 94,426 47,213 141,640 70,820 35,410 17,705 53,116 26,558 13,279 39,838 19,919 59,758 29,879 89,638 44,819 134,458 67,229 201,688 100,844 50,422 25,211 75,634 37,817 113,452 56,726 28,363 85,090 42,545 127,636 63,818 31,909 95,728 47,864 23,932

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