λ
Harmonic Matrix

8,590,139

8590139
Deficient Odd Prime

8,590,139 has digital root 8. The neighboring primes are 8590121 and 8590159; its proper-divisor sum differs from the starting integer by -8,590,138.

Prime Factor Structure

Factorization String 8590139
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,590,140
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8590121 ← → #8590159

Radix Representation

Decimal 8590139
Binary 100000110001001100111011 (24 bits)
Octal 0o40611473
Hexadecimal 0x83133B

Divisor Catalog (2)

Collatz Trajectory (212 steps to reach 1)

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

8,590,139 25,770,418 12,885,209 38,655,628 19,327,814 9,663,907 28,991,722 14,495,861 43,487,584 21,743,792 10,871,896 5,435,948 2,717,974 1,358,987 4,076,962 2,038,481 6,115,444 3,057,722 1,528,861 4,586,584 2,293,292 1,146,646 573,323 1,719,970 859,985 2,579,956 1,289,978 644,989 1,934,968 967,484 483,742 241,871 725,614 362,807 1,088,422 544,211 1,632,634 816,317 2,448,952 1,224,476 612,238 306,119 918,358 459,179 1,377,538 688,769 2,066,308 1,033,154 516,577 1,549,732 774,866 387,433 1,162,300 581,150 290,575 871,726 435,863 1,307,590 653,795 1,961,386

More profiles

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