7,736,925

3 × 5² × 7 × 14737

7,736,925 has the prime decomposition 3 × 5^2 × 7 × 14737. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 14737

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,620,096

Proper Divisor Sum 6,883,171

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7736893 ← → #7736951

Radix Representation

Decimal	7736925
Binary	11101100000111001011101 (23 bits)
Octal	0o35407135
Hexadecimal	0x760E5D

Divisor Catalog (24)

1 3 5 7 15 21 25 35 75 105 175 525 14,737 44,211 73,685 103,159 221,055 309,477 368,425 515,795 1,105,275 1,547,385 2,578,975 7,736,925

Collatz Trajectory (124 steps to reach 1)

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

7,736,925 23,210,776 11,605,388 5,802,694 2,901,347 8,704,042 4,352,021 13,056,064 6,528,032 3,264,016 1,632,008 816,004 408,002 204,001 612,004 306,002 153,001 459,004 229,502 114,751 344,254 172,127 516,382 258,191 774,574 387,287 1,161,862 580,931 1,742,794 871,397 2,614,192 1,307,096 653,548 326,774 163,387 490,162 245,081 735,244 367,622 183,811 551,434 275,717 827,152 413,576 206,788 103,394 51,697 155,092 77,546 38,773 116,320 58,160 29,080 14,540 7,270 3,635 10,906 5,453 16,360 8,180

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