λ
Harmonic Matrix

9,778,249

13 × 29 × 37 × 701
Deficient Odd Composite

9,778,249 has digital root 1. The neighboring primes are 9778231 and 9778253; its proper-divisor sum differs from the starting integer by -8,352,578.

Prime Factor Structure

Factorization String 13 × 29 × 37 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,203,920
Proper Divisor Sum 1,425,671
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9778231 ← → #9778253

Radix Representation

Decimal 9778249
Binary 100101010011010001001001 (24 bits)
Octal 0o45232111
Hexadecimal 0x953449

Divisor Catalog (16)

1 13 29 37 377 481 701 1,073 9,113 13,949 20,329 25,937 264,277 337,181 752,173 9,778,249

Collatz Trajectory (114 steps to reach 1)

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

9,778,249 29,334,748 14,667,374 7,333,687 22,001,062 11,000,531 33,001,594 16,500,797 49,502,392 24,751,196 12,375,598 6,187,799 18,563,398 9,281,699 27,845,098 13,922,549 41,767,648 20,883,824 10,441,912 5,220,956 2,610,478 1,305,239 3,915,718 1,957,859 5,873,578 2,936,789 8,810,368 4,405,184 2,202,592 1,101,296 550,648 275,324 137,662 68,831 206,494 103,247 309,742 154,871 464,614 232,307 696,922 348,461 1,045,384 522,692 261,346 130,673 392,020 196,010 98,005 294,016 147,008 73,504 36,752 18,376 9,188 4,594 2,297 6,892 3,446 1,723

More profiles

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