λ
Harmonic Matrix

7,248,407

7248407
Deficient Odd Prime

7,248,407 has digital root 5. The neighboring primes are 7248401 and 7248413; its proper-divisor sum differs from the starting integer by -7,248,406.

Prime Factor Structure

Factorization String 7248407
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,248,408
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7248401 ← → #7248413

Radix Representation

Decimal 7248407
Binary 11011101001101000010111 (23 bits)
Octal 0o33515027
Hexadecimal 0x6E9A17

Divisor Catalog (2)

Collatz Trajectory (235 steps to reach 1)

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

7,248,407 21,745,222 10,872,611 32,617,834 16,308,917 48,926,752 24,463,376 12,231,688 6,115,844 3,057,922 1,528,961 4,586,884 2,293,442 1,146,721 3,440,164 1,720,082 860,041 2,580,124 1,290,062 645,031 1,935,094 967,547 2,902,642 1,451,321 4,353,964 2,176,982 1,088,491 3,265,474 1,632,737 4,898,212 2,449,106 1,224,553 3,673,660 1,836,830 918,415 2,755,246 1,377,623 4,132,870 2,066,435 6,199,306 3,099,653 9,298,960 4,649,480 2,324,740 1,162,370 581,185 1,743,556 871,778 435,889 1,307,668 653,834 326,917 980,752 490,376 245,188 122,594 61,297 183,892 91,946 45,973

More profiles

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