λ
Harmonic Matrix

696,763

696763
Deficient Odd Prime

696,763 has digital root 1. The neighboring primes are 696757 and 696793; its proper-divisor sum differs from the starting integer by -696,762.

Prime Factor Structure

Factorization String 696763
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 696,764
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #696757 ← → #696793

Radix Representation

Decimal 696763
Binary 10101010000110111011 (20 bits)
Octal 0o2520673
Hexadecimal 0xAA1BB

Divisor Catalog (2)

Collatz Trajectory (136 steps to reach 1)

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

696,763 2,090,290 1,045,145 3,135,436 1,567,718 783,859 2,351,578 1,175,789 3,527,368 1,763,684 881,842 440,921 1,322,764 661,382 330,691 992,074 496,037 1,488,112 744,056 372,028 186,014 93,007 279,022 139,511 418,534 209,267 627,802 313,901 941,704 470,852 235,426 117,713 353,140 176,570 88,285 264,856 132,428 66,214 33,107 99,322 49,661 148,984 74,492 37,246 18,623 55,870 27,935 83,806 41,903 125,710 62,855 188,566 94,283 282,850 141,425 424,276 212,138 106,069 318,208 159,104

More profiles

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