λ
Harmonic Matrix

702,353

702353
Deficient Odd Prime

702,353 has digital root 2. The neighboring primes are 702349 and 702379; its proper-divisor sum differs from the starting integer by -702,352.

Prime Factor Structure

Factorization String 702353
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 702,354
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #702349 ← → #702379

Radix Representation

Decimal 702353
Binary 10101011011110010001 (20 bits)
Octal 0o2533621
Hexadecimal 0xAB791

Divisor Catalog (2)

Collatz Trajectory (167 steps to reach 1)

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

702,353 2,107,060 1,053,530 526,765 1,580,296 790,148 395,074 197,537 592,612 296,306 148,153 444,460 222,230 111,115 333,346 166,673 500,020 250,010 125,005 375,016 187,508 93,754 46,877 140,632 70,316 35,158 17,579 52,738 26,369 79,108 39,554 19,777 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124

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