λ
Harmonic Matrix

7,740,649

7 × 1105807
Deficient Odd Composite

7,740,649 has digital root 1. The neighboring primes are 7740647 and 7740653; its proper-divisor sum differs from the starting integer by -6,634,834.

Prime Factor Structure

Factorization String 7 × 1105807
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,846,464
Proper Divisor Sum 1,105,815
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7740647 ← → #7740653

Radix Representation

Decimal 7740649
Binary 11101100001110011101001 (23 bits)
Octal 0o35416351
Hexadecimal 0x761CE9

Divisor Catalog (4)

1 7 1,105,807 7,740,649

Collatz Trajectory (230 steps to reach 1)

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

7,740,649 23,221,948 11,610,974 5,805,487 17,416,462 8,708,231 26,124,694 13,062,347 39,187,042 19,593,521 58,780,564 29,390,282 14,695,141 44,085,424 22,042,712 11,021,356 5,510,678 2,755,339 8,266,018 4,133,009 12,399,028 6,199,514 3,099,757 9,299,272 4,649,636 2,324,818 1,162,409 3,487,228 1,743,614 871,807 2,615,422 1,307,711 3,923,134 1,961,567 5,884,702 2,942,351 8,827,054 4,413,527 13,240,582 6,620,291 19,860,874 9,930,437 29,791,312 14,895,656 7,447,828 3,723,914 1,861,957 5,585,872 2,792,936 1,396,468 698,234 349,117 1,047,352 523,676 261,838 130,919 392,758 196,379 589,138 294,569

More profiles

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