λ
Harmonic Matrix

7,262,974

2 × 3631487
Deficient Even Composite

7,262,974 has digital root 1. The neighboring primes are 7262953 and 7263013; its proper-divisor sum differs from the starting integer by -3,631,484.

Prime Factor Structure

Factorization String 2 × 3631487
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,894,464
Proper Divisor Sum 3,631,490
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7262953 ← → #7263013

Radix Representation

Decimal 7262974
Binary 11011101101001011111110 (23 bits)
Octal 0o33551376
Hexadecimal 0x6ED2FE

Divisor Catalog (4)

1 2 3,631,487 7,262,974

Collatz Trajectory (173 steps to reach 1)

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

7,262,974 3,631,487 10,894,462 5,447,231 16,341,694 8,170,847 24,512,542 12,256,271 36,768,814 18,384,407 55,153,222 27,576,611 82,729,834 41,364,917 124,094,752 62,047,376 31,023,688 15,511,844 7,755,922 3,877,961 11,633,884 5,816,942 2,908,471 8,725,414 4,362,707 13,088,122 6,544,061 19,632,184 9,816,092 4,908,046 2,454,023 7,362,070 3,681,035 11,043,106 5,521,553 16,564,660 8,282,330 4,141,165 12,423,496 6,211,748 3,105,874 1,552,937 4,658,812 2,329,406 1,164,703 3,494,110 1,747,055 5,241,166 2,620,583 7,861,750 3,930,875 11,792,626 5,896,313 17,688,940 8,844,470 4,422,235 13,266,706 6,633,353 19,900,060 9,950,030

More profiles

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