λ
Integer Codex

8,129,923

8129923
Deficient Odd Prime

For 8,129,923, the 2 positive divisors have a total of 8,129,924. Removing 8,129,923 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8129923
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,129,924
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8129921 ← → #8129939

Radix Representation

Decimal 8129923
Binary 11111000000110110000011 (23 bits)
Octal 0o37006603
Hexadecimal 0x7C0D83

Divisor Catalog (2)

1 8,129,923

Collatz Trajectory (186 steps to reach 1)

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

8,129,923 24,389,770 12,194,885 36,584,656 18,292,328 9,146,164 4,573,082 2,286,541 6,859,624 3,429,812 1,714,906 857,453 2,572,360 1,286,180 643,090 321,545 964,636 482,318 241,159 723,478 361,739 1,085,218 542,609 1,627,828 813,914 406,957 1,220,872 610,436 305,218 152,609 457,828 228,914 114,457 343,372 171,686 85,843 257,530 128,765 386,296 193,148 96,574 48,287 144,862 72,431 217,294 108,647 325,942 162,971 488,914 244,457 733,372 366,686 183,343 550,030 275,015 825,046 412,523 1,237,570 618,785 1,856,356

More profiles

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