λ
Harmonic Matrix

9,773,770

2 × 5 × 101 × 9677
Deficient Even Composite

9,773,770 has digital root 4. The neighboring primes are 9773767 and 9773821; its proper-divisor sum differs from the starting integer by -1,778,732.

Prime Factor Structure

Factorization String 2 × 5 × 101 × 9677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,768,808
Proper Divisor Sum 7,995,038
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9773767 ← → #9773821

Radix Representation

Decimal 9773770
Binary 100101010010001011001010 (24 bits)
Octal 0o45221312
Hexadecimal 0x9522CA

Divisor Catalog (16)

1 2 5 10 101 202 505 1,010 9,677 19,354 48,385 96,770 977,377 1,954,754 4,886,885 9,773,770

Collatz Trajectory (238 steps to reach 1)

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

9,773,770 4,886,885 14,660,656 7,330,328 3,665,164 1,832,582 916,291 2,748,874 1,374,437 4,123,312 2,061,656 1,030,828 515,414 257,707 773,122 386,561 1,159,684 579,842 289,921 869,764 434,882 217,441 652,324 326,162 163,081 489,244 244,622 122,311 366,934 183,467 550,402 275,201 825,604 412,802 206,401 619,204 309,602 154,801 464,404 232,202 116,101 348,304 174,152 87,076 43,538 21,769 65,308 32,654 16,327 48,982 24,491 73,474 36,737 110,212 55,106 27,553 82,660 41,330 20,665 61,996

More profiles

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