7,601,415

3 × 5 × 331 × 1531

7,601,415 factors as 3 × 5 × 331 × 1531. Its 16 positive divisors give a proper-divisor sum of 4,605,561, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 3 × 5 × 331 × 1531

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,206,976

Proper Divisor Sum 4,605,561

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7601413 ← → #7601423

Radix Representation

Decimal	7601415
Binary	11100111111110100000111 (23 bits)
Octal	0o34776407
Hexadecimal	0x73FD07

Divisor Catalog (16)

1 3 5 15 331 993 1,531 1,655 4,593 4,965 7,655 22,965 506,761 1,520,283 2,533,805 7,601,415

Collatz Trajectory (248 steps to reach 1)

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

7,601,415 22,804,246 11,402,123 34,206,370 17,103,185 51,309,556 25,654,778 12,827,389 38,482,168 19,241,084 9,620,542 4,810,271 14,430,814 7,215,407 21,646,222 10,823,111 32,469,334 16,234,667 48,704,002 24,352,001 73,056,004 36,528,002 18,264,001 54,792,004 27,396,002 13,698,001 41,094,004 20,547,002 10,273,501 30,820,504 15,410,252 7,705,126 3,852,563 11,557,690 5,778,845 17,336,536 8,668,268 4,334,134 2,167,067 6,501,202 3,250,601 9,751,804 4,875,902 2,437,951 7,313,854 3,656,927 10,970,782 5,485,391 16,456,174 8,228,087 24,684,262 12,342,131 37,026,394 18,513,197 55,539,592 27,769,796 13,884,898 6,942,449 20,827,348 10,413,674

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