λ
Harmonic Matrix

69,739

69739
Deficient Odd Prime

69,739 has digital root 7. The neighboring primes are 69737 and 69761; its proper-divisor sum differs from the starting integer by -69,738.

Prime Factor Structure

Factorization String 69739
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 69,740
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #69737 ← → #69761

Radix Representation

Decimal 69739
Binary 10001000001101011 (17 bits)
Octal 0o210153
Hexadecimal 0x1106B

Divisor Catalog (2)

1 69,739

Collatz Trajectory (174 steps to reach 1)

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

69,739 209,218 104,609 313,828 156,914 78,457 235,372 117,686 58,843 176,530 88,265 264,796 132,398 66,199 198,598 99,299 297,898 148,949 446,848 223,424 111,712 55,856 27,928 13,964 6,982 3,491 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666

More profiles

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