λ
Harmonic Matrix

6,362,688

26 × 3 × 31 × 1069
Abundant Even Composite

6,362,688 has digital root 3. The neighboring primes are 6362677 and 6362711; its proper-divisor sum differs from the starting integer by 4,668,544.

Prime Factor Structure

Factorization String 2^6 × 3 × 31 × 1069
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 17,393,920
Proper Divisor Sum 11,031,232
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6362677 ← → #6362711

Radix Representation

Decimal 6362688
Binary 11000010001011001000000 (23 bits)
Octal 0o30213100
Hexadecimal 0x611640

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1,069 1,488 1,984 2,138 2,976 3,207 4,276 5,952 6,414 8,552 12,828 17,104 25,656 33,139 34,208 51,312 66,278 68,416 99,417 102,624 132,556 198,834 205,248 265,112 397,668 530,224 795,336 1,060,448 1,590,672 2,120,896 3,181,344 6,362,688

Collatz Trajectory (103 steps to reach 1)

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

6,362,688 3,181,344 1,590,672 795,336 397,668 198,834 99,417 298,252 149,126 74,563 223,690 111,845 335,536 167,768 83,884 41,942 20,971 62,914 31,457 94,372 47,186 23,593 70,780 35,390 17,695 53,086 26,543 79,630 39,815 119,446 59,723 179,170 89,585 268,756 134,378 67,189 201,568 100,784 50,392 25,196 12,598 6,299 18,898 9,449 28,348 14,174 7,087 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728

More profiles

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