λ
Harmonic Matrix

8,987,421

3 × 2995807
Deficient Odd Composite

8,987,421 has digital root 3. The neighboring primes are 8987417 and 8987443; its proper-divisor sum differs from the starting integer by -5,991,610.

Prime Factor Structure

Factorization String 3 × 2995807
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,983,232
Proper Divisor Sum 2,995,811
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8987417 ← → #8987443

Radix Representation

Decimal 8987421
Binary 100010010010001100011101 (24 bits)
Octal 0o42221435
Hexadecimal 0x89231D

Divisor Catalog (4)

1 3 2,995,807 8,987,421

Collatz Trajectory (248 steps to reach 1)

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

8,987,421 26,962,264 13,481,132 6,740,566 3,370,283 10,110,850 5,055,425 15,166,276 7,583,138 3,791,569 11,374,708 5,687,354 2,843,677 8,531,032 4,265,516 2,132,758 1,066,379 3,199,138 1,599,569 4,798,708 2,399,354 1,199,677 3,599,032 1,799,516 899,758 449,879 1,349,638 674,819 2,024,458 1,012,229 3,036,688 1,518,344 759,172 379,586 189,793 569,380 284,690 142,345 427,036 213,518 106,759 320,278 160,139 480,418 240,209 720,628 360,314 180,157 540,472 270,236 135,118 67,559 202,678 101,339 304,018 152,009 456,028 228,014 114,007 342,022

More profiles

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