λ
Harmonic Matrix

7,265,122

2 × 239 × 15199
Deficient Even Composite

7,265,122 has digital root 7. The neighboring primes are 7265107 and 7265131; its proper-divisor sum differs from the starting integer by -3,586,244.

Prime Factor Structure

Factorization String 2 × 239 × 15199
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,944,000
Proper Divisor Sum 3,678,878
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7265107 ← → #7265131

Radix Representation

Decimal 7265122
Binary 11011101101101101100010 (23 bits)
Octal 0o33555542
Hexadecimal 0x6EDB62

Divisor Catalog (8)

1 2 239 478 15,199 30,398 3,632,561 7,265,122

Collatz Trajectory (160 steps to reach 1)

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

7,265,122 3,632,561 10,897,684 5,448,842 2,724,421 8,173,264 4,086,632 2,043,316 1,021,658 510,829 1,532,488 766,244 383,122 191,561 574,684 287,342 143,671 431,014 215,507 646,522 323,261 969,784 484,892 242,446 121,223 363,670 181,835 545,506 272,753 818,260 409,130 204,565 613,696 306,848 153,424 76,712 38,356 19,178 9,589 28,768 14,384 7,192 3,596 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215

More profiles

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