λ
Harmonic Matrix

352,713

3 × 117571
Deficient Odd Composite

352,713 has digital root 3. The neighboring primes are 352711 and 352739; its proper-divisor sum differs from the starting integer by -235,138.

Prime Factor Structure

Factorization String 3 × 117571
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 470,288
Proper Divisor Sum 117,575
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #352711 ← → #352739

Radix Representation

Decimal 352713
Binary 1010110000111001001 (19 bits)
Octal 0o1260711
Hexadecimal 0x561C9

Divisor Catalog (4)

1 3 117,571 352,713

Collatz Trajectory (148 steps to reach 1)

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

352,713 1,058,140 529,070 264,535 793,606 396,803 1,190,410 595,205 1,785,616 892,808 446,404 223,202 111,601 334,804 167,402 83,701 251,104 125,552 62,776 31,388 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432

More profiles

← Previous Integer #352,712 Browse Full Index Next Integer #352,714 →