λ
Sigma Notebook

1,315,784

23 × 23 × 7151
Deficient Even Composite

1,315,784 is even and not a perfect square. Its factorization is 2^3 × 23 × 7151 and its 16 divisors sum to 2,574,720.

Prime Factor Structure

Factorization String 2^3 × 23 × 7151
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,574,720
Proper Divisor Sum 1,258,936
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1315781 ← → #1315801

Radix Representation

Decimal 1315784
Binary 101000001001111001000 (21 bits)
Octal 0o5011710
Hexadecimal 0x1413C8

Divisor Catalog (16)

1 2 4 8 23 46 92 184 7,151 14,302 28,604 57,208 164,473 328,946 657,892 1,315,784

Collatz Trajectory (173 steps to reach 1)

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

1,315,784 657,892 328,946 164,473 493,420 246,710 123,355 370,066 185,033 555,100 277,550 138,775 416,326 208,163 624,490 312,245 936,736 468,368 234,184 117,092 58,546 29,273 87,820 43,910 21,955 65,866 32,933 98,800 49,400 24,700 12,350 6,175 18,526 9,263 27,790 13,895 41,686 20,843 62,530 31,265 93,796 46,898 23,449 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350

More profiles

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