λ
Harmonic Matrix

7,432,090

2 × 5 × 743209
Deficient Even Composite

7,432,090 has digital root 7. The neighboring primes are 7432081 and 7432093; its proper-divisor sum differs from the starting integer by -1,486,400.

Prime Factor Structure

Factorization String 2 × 5 × 743209
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,377,780
Proper Divisor Sum 5,945,690
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7432081 ← → #7432093

Radix Representation

Decimal 7432090
Binary 11100010110011110011010 (23 bits)
Octal 0o34263632
Hexadecimal 0x71679A

Divisor Catalog (8)

1 2 5 10 743,209 1,486,418 3,716,045 7,432,090

Collatz Trajectory (142 steps to reach 1)

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

7,432,090 3,716,045 11,148,136 5,574,068 2,787,034 1,393,517 4,180,552 2,090,276 1,045,138 522,569 1,567,708 783,854 391,927 1,175,782 587,891 1,763,674 881,837 2,645,512 1,322,756 661,378 330,689 992,068 496,034 248,017 744,052 372,026 186,013 558,040 279,020 139,510 69,755 209,266 104,633 313,900 156,950 78,475 235,426 117,713 353,140 176,570 88,285 264,856 132,428 66,214 33,107 99,322 49,661 148,984 74,492 37,246 18,623 55,870 27,935 83,806 41,903 125,710 62,855 188,566 94,283 282,850

More profiles

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