λ
Harmonic Matrix

4,715,932

22 × 13 × 89 × 1019
Deficient Even Composite

4,715,932 has digital root 4. The neighboring primes are 4715911 and 4715947; its proper-divisor sum differs from the starting integer by -435,464.

Prime Factor Structure

Factorization String 2^2 × 13 × 89 × 1019
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,996,400
Proper Divisor Sum 4,280,468
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4715911 ← → #4715947

Radix Representation

Decimal 4715932
Binary 10001111111010110011100 (23 bits)
Octal 0o21772634
Hexadecimal 0x47F59C

Divisor Catalog (24)

1 2 4 13 26 52 89 178 356 1,019 1,157 2,038 2,314 4,076 4,628 13,247 26,494 52,988 90,691 181,382 362,764 1,178,983 2,357,966 4,715,932

Collatz Trajectory (74 steps to reach 1)

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

4,715,932 2,357,966 1,178,983 3,536,950 1,768,475 5,305,426 2,652,713 7,958,140 3,979,070 1,989,535 5,968,606 2,984,303 8,952,910 4,476,455 13,429,366 6,714,683 20,144,050 10,072,025 30,216,076 15,108,038 7,554,019 22,662,058 11,331,029 33,993,088 16,996,544 8,498,272 4,249,136 2,124,568 1,062,284 531,142 265,571 796,714 398,357 1,195,072 597,536 298,768 149,384 74,692 37,346 18,673 56,020 28,010 14,005 42,016 21,008 10,504 5,252 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832

More profiles

← Previous Integer #4,715,931 Browse Full Index Next Integer #4,715,933 →