λ
Harmonic Matrix

358,396

22 × 89599
Deficient Even Composite

358,396 has digital root 7. The neighboring primes are 358373 and 358417; its proper-divisor sum differs from the starting integer by -89,592.

Prime Factor Structure

Factorization String 2^2 × 89599
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 627,200
Proper Divisor Sum 268,804
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #358373 ← → #358417

Radix Representation

Decimal 358396
Binary 1010111011111111100 (19 bits)
Octal 0o1273774
Hexadecimal 0x577FC

Divisor Catalog (6)

1 2 4 89,599 179,198 358,396

Collatz Trajectory (78 steps to reach 1)

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

358,396 179,198 89,599 268,798 134,399 403,198 201,599 604,798 302,399 907,198 453,599 1,360,798 680,399 2,041,198 1,020,599 3,061,798 1,530,899 4,592,698 2,296,349 6,889,048 3,444,524 1,722,262 861,131 2,583,394 1,291,697 3,875,092 1,937,546 968,773 2,906,320 1,453,160 726,580 363,290 181,645 544,936 272,468 136,234 68,117 204,352 102,176 51,088 25,544 12,772 6,386 3,193 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648

More profiles

← Previous Integer #358,395 Browse Full Index Next Integer #358,397 →