λ
Math Directory

8,736,619

23 × 379853
Deficient Odd Composite

8,736,619 factors as 23 × 379853. Its 4 positive divisors give a proper-divisor sum of 379,877, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 23 × 379853
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,116,496
Proper Divisor Sum 379,877
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8736617 ← → #8736631

Radix Representation

Decimal 8736619
Binary 100001010100111101101011 (24 bits)
Octal 0o41247553
Hexadecimal 0x854F6B

Divisor Catalog (4)

1 23 379,853 8,736,619

Collatz Trajectory (137 steps to reach 1)

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

8,736,619 26,209,858 13,104,929 39,314,788 19,657,394 9,828,697 29,486,092 14,743,046 7,371,523 22,114,570 11,057,285 33,171,856 16,585,928 8,292,964 4,146,482 2,073,241 6,219,724 3,109,862 1,554,931 4,664,794 2,332,397 6,997,192 3,498,596 1,749,298 874,649 2,623,948 1,311,974 655,987 1,967,962 983,981 2,951,944 1,475,972 737,986 368,993 1,106,980 553,490 276,745 830,236 415,118 207,559 622,678 311,339 934,018 467,009 1,401,028 700,514 350,257 1,050,772 525,386 262,693 788,080 394,040 197,020 98,510 49,255 147,766 73,883 221,650 110,825 332,476

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