λ
Harmonic Matrix

7,411,515

3 × 5 × 494101
Deficient Odd Composite

7,411,515 has digital root 6. The neighboring primes are 7411513 and 7411517; its proper-divisor sum differs from the starting integer by -2,964,582.

Prime Factor Structure

Factorization String 3 × 5 × 494101
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,858,448
Proper Divisor Sum 4,446,933
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7411513 ← → #7411517

Radix Representation

Decimal 7411515
Binary 11100010001011100111011 (23 bits)
Octal 0o34213473
Hexadecimal 0x71173B

Divisor Catalog (8)

1 3 5 15 494,101 1,482,303 2,470,505 7,411,515

Collatz Trajectory (217 steps to reach 1)

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

7,411,515 22,234,546 11,117,273 33,351,820 16,675,910 8,337,955 25,013,866 12,506,933 37,520,800 18,760,400 9,380,200 4,690,100 2,345,050 1,172,525 3,517,576 1,758,788 879,394 439,697 1,319,092 659,546 329,773 989,320 494,660 247,330 123,665 370,996 185,498 92,749 278,248 139,124 69,562 34,781 104,344 52,172 26,086 13,043 39,130 19,565 58,696 29,348 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020

More profiles

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