λ
Harmonic Matrix

7,325,707

23 × 431 × 739
Deficient Odd Composite

7,325,707 has digital root 4. The neighboring primes are 7325693 and 7325723; its proper-divisor sum differs from the starting integer by -6,979,094.

Prime Factor Structure

Factorization String 23 × 431 × 739
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,672,320
Proper Divisor Sum 346,613
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7325693 ← → #7325723

Radix Representation

Decimal 7325707
Binary 11011111100100000001011 (23 bits)
Octal 0o33744013
Hexadecimal 0x6FC80B

Divisor Catalog (8)

1 23 431 739 9,913 16,997 318,509 7,325,707

Collatz Trajectory (111 steps to reach 1)

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

7,325,707 21,977,122 10,988,561 32,965,684 16,482,842 8,241,421 24,724,264 12,362,132 6,181,066 3,090,533 9,271,600 4,635,800 2,317,900 1,158,950 579,475 1,738,426 869,213 2,607,640 1,303,820 651,910 325,955 977,866 488,933 1,466,800 733,400 366,700 183,350 91,675 275,026 137,513 412,540 206,270 103,135 309,406 154,703 464,110 232,055 696,166 348,083 1,044,250 522,125 1,566,376 783,188 391,594 195,797 587,392 293,696 146,848 73,424 36,712 18,356 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291

More profiles

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