λ
Harmonic Matrix

3,642,358

2 × 41 × 43 × 1033
Deficient Even Composite

3,642,358 has digital root 4. The neighboring primes are 3642347 and 3642377; its proper-divisor sum differs from the starting integer by -1,552,220.

Prime Factor Structure

Factorization String 2 × 41 × 43 × 1033
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,732,496
Proper Divisor Sum 2,090,138
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3642347 ← → #3642377

Radix Representation

Decimal 3642358
Binary 1101111001001111110110 (22 bits)
Octal 0o15711766
Hexadecimal 0x3793F6

Divisor Catalog (16)

1 2 41 43 82 86 1,033 1,763 2,066 3,526 42,353 44,419 84,706 88,838 1,821,179 3,642,358

Collatz Trajectory (97 steps to reach 1)

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

3,642,358 1,821,179 5,463,538 2,731,769 8,195,308 4,097,654 2,048,827 6,146,482 3,073,241 9,219,724 4,609,862 2,304,931 6,914,794 3,457,397 10,372,192 5,186,096 2,593,048 1,296,524 648,262 324,131 972,394 486,197 1,458,592 729,296 364,648 182,324 91,162 45,581 136,744 68,372 34,186 17,093 51,280 25,640 12,820 6,410 3,205 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647

More profiles

← Previous Integer #3,642,357 Browse Full Index Next Integer #3,642,359 →