λ
Harmonic Matrix

2,498,279

7 × 73 × 4889
Deficient Odd Composite

2,498,279 has digital root 5. The neighboring primes are 2498273 and 2498299; its proper-divisor sum differs from the starting integer by -2,101,678.

Prime Factor Structure

Factorization String 7 × 73 × 4889
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,894,880
Proper Divisor Sum 396,601
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2498273 ← → #2498299

Radix Representation

Decimal 2498279
Binary 1001100001111011100111 (22 bits)
Octal 0o11417347
Hexadecimal 0x261EE7

Divisor Catalog (8)

1 7 73 511 4,889 34,223 356,897 2,498,279

Collatz Trajectory (174 steps to reach 1)

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

2,498,279 7,494,838 3,747,419 11,242,258 5,621,129 16,863,388 8,431,694 4,215,847 12,647,542 6,323,771 18,971,314 9,485,657 28,456,972 14,228,486 7,114,243 21,342,730 10,671,365 32,014,096 16,007,048 8,003,524 4,001,762 2,000,881 6,002,644 3,001,322 1,500,661 4,501,984 2,250,992 1,125,496 562,748 281,374 140,687 422,062 211,031 633,094 316,547 949,642 474,821 1,424,464 712,232 356,116 178,058 89,029 267,088 133,544 66,772 33,386 16,693 50,080 25,040 12,520 6,260 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644

More profiles

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