λ
Harmonic Matrix

4,088,430

2 × 32 × 5 × 45427
Abundant Even Composite

4,088,430 has digital root 9. The neighboring primes are 4088423 and 4088431; its proper-divisor sum differs from the starting integer by 2,453,292.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 45427
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,630,152
Proper Divisor Sum 6,541,722
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4088423 ← → #4088431

Radix Representation

Decimal 4088430
Binary 1111100110001001101110 (22 bits)
Octal 0o17461156
Hexadecimal 0x3E626E

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 45,427 90,854 136,281 227,135 272,562 408,843 454,270 681,405 817,686 1,362,810 2,044,215 4,088,430

Collatz Trajectory (229 steps to reach 1)

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

4,088,430 2,044,215 6,132,646 3,066,323 9,198,970 4,599,485 13,798,456 6,899,228 3,449,614 1,724,807 5,174,422 2,587,211 7,761,634 3,880,817 11,642,452 5,821,226 2,910,613 8,731,840 4,365,920 2,182,960 1,091,480 545,740 272,870 136,435 409,306 204,653 613,960 306,980 153,490 76,745 230,236 115,118 57,559 172,678 86,339 259,018 129,509 388,528 194,264 97,132 48,566 24,283 72,850 36,425 109,276 54,638 27,319 81,958 40,979 122,938 61,469 184,408 92,204 46,102 23,051 69,154 34,577 103,732 51,866 25,933

More profiles

← Previous Integer #4,088,429 Browse Full Index Next Integer #4,088,431 →