λ
Harmonic Matrix

701,963

701963
Deficient Odd Prime

701,963 has digital root 8. The neighboring primes are 701957 and 701969; its proper-divisor sum differs from the starting integer by -701,962.

Prime Factor Structure

Factorization String 701963
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 701,964
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #701957 ← → #701969

Radix Representation

Decimal 701963
Binary 10101011011000001011 (20 bits)
Octal 0o2533013
Hexadecimal 0xAB60B

Divisor Catalog (2)

1 701,963

Collatz Trajectory (167 steps to reach 1)

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

701,963 2,105,890 1,052,945 3,158,836 1,579,418 789,709 2,369,128 1,184,564 592,282 296,141 888,424 444,212 222,106 111,053 333,160 166,580 83,290 41,645 124,936 62,468 31,234 15,617 46,852 23,426 11,713 35,140 17,570 8,785 26,356 13,178 6,589 19,768 9,884 4,942 2,471 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125

More profiles

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