λ
Integer Codex

9,989,378

2 × 7 × 31 × 23017
Deficient Even Composite

For 9,989,378, the 16 positive divisors have a total of 17,677,824. Removing 9,989,378 leaves 7,688,446, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7 × 31 × 23017
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,677,824
Proper Divisor Sum 7,688,446
Digit Sum / Digital Root 53 (Root: 8)
Adjacent Primes #9989377 ← → #9989381

Radix Representation

Decimal 9989378
Binary 100110000110110100000010 (24 bits)
Octal 0o46066402
Hexadecimal 0x986D02

Divisor Catalog (16)

1 2 7 14 31 62 217 434 23,017 46,034 161,119 322,238 713,527 1,427,054 4,994,689 9,989,378

Collatz Trajectory (282 steps to reach 1)

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

9,989,378 4,994,689 14,984,068 7,492,034 3,746,017 11,238,052 5,619,026 2,809,513 8,428,540 4,214,270 2,107,135 6,321,406 3,160,703 9,482,110 4,741,055 14,223,166 7,111,583 21,334,750 10,667,375 32,002,126 16,001,063 48,003,190 24,001,595 72,004,786 36,002,393 108,007,180 54,003,590 27,001,795 81,005,386 40,502,693 121,508,080 60,754,040 30,377,020 15,188,510 7,594,255 22,782,766 11,391,383 34,174,150 17,087,075 51,261,226 25,630,613 76,891,840 38,445,920 19,222,960 9,611,480 4,805,740 2,402,870 1,201,435 3,604,306 1,802,153 5,406,460 2,703,230 1,351,615 4,054,846 2,027,423 6,082,270 3,041,135 9,123,406 4,561,703 13,685,110

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