λ
Harmonic Matrix

4,142,423

4142423
Deficient Odd Prime

4,142,423 has digital root 2. The neighboring primes are 4142417 and 4142429; its proper-divisor sum differs from the starting integer by -4,142,422.

Prime Factor Structure

Factorization String 4142423
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,142,424
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4142417 ← → #4142429

Radix Representation

Decimal 4142423
Binary 1111110011010101010111 (22 bits)
Octal 0o17632527
Hexadecimal 0x3F3557

Divisor Catalog (2)

Collatz Trajectory (185 steps to reach 1)

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

4,142,423 12,427,270 6,213,635 18,640,906 9,320,453 27,961,360 13,980,680 6,990,340 3,495,170 1,747,585 5,242,756 2,621,378 1,310,689 3,932,068 1,966,034 983,017 2,949,052 1,474,526 737,263 2,211,790 1,105,895 3,317,686 1,658,843 4,976,530 2,488,265 7,464,796 3,732,398 1,866,199 5,598,598 2,799,299 8,397,898 4,198,949 12,596,848 6,298,424 3,149,212 1,574,606 787,303 2,361,910 1,180,955 3,542,866 1,771,433 5,314,300 2,657,150 1,328,575 3,985,726 1,992,863 5,978,590 2,989,295 8,967,886 4,483,943 13,451,830 6,725,915 20,177,746 10,088,873 30,266,620 15,133,310 7,566,655 22,699,966 11,349,983 34,049,950

More profiles

← Previous Integer #4,142,422 Browse Full Index Next Integer #4,142,424 →