λ
Integer Codex

9,970,365

3 × 5 × 664691
Deficient Odd Composite

For 9,970,365, the 8 positive divisors have a total of 15,952,608. Removing 9,970,365 leaves 5,982,243, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 664691
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,952,608
Proper Divisor Sum 5,982,243
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9970357 ← → #9970397

Radix Representation

Decimal 9970365
Binary 100110000010001010111101 (24 bits)
Octal 0o46021275
Hexadecimal 0x9822BD

Divisor Catalog (8)

1 3 5 15 664,691 1,994,073 3,323,455 9,970,365

Collatz Trajectory (114 steps to reach 1)

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

9,970,365 29,911,096 14,955,548 7,477,774 3,738,887 11,216,662 5,608,331 16,824,994 8,412,497 25,237,492 12,618,746 6,309,373 18,928,120 9,464,060 4,732,030 2,366,015 7,098,046 3,549,023 10,647,070 5,323,535 15,970,606 7,985,303 23,955,910 11,977,955 35,933,866 17,966,933 53,900,800 26,950,400 13,475,200 6,737,600 3,368,800 1,684,400 842,200 421,100 210,550 105,275 315,826 157,913 473,740 236,870 118,435 355,306 177,653 532,960 266,480 133,240 66,620 33,310 16,655 49,966 24,983 74,950 37,475 112,426 56,213 168,640 84,320 42,160 21,080 10,540

More profiles

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