7,736,664

2³ × 3 × 13 × 137 × 181

7,736,664 has the prime decomposition 2^3 × 3 × 13 × 137 × 181. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 137 × 181

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 21,097,440

Proper Divisor Sum 13,360,776

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7736653 ← → #7736723

Radix Representation

Decimal	7736664
Binary	11101100000110101011000 (23 bits)
Octal	0o35406530
Hexadecimal	0x760D58

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 181 274 312 362 411 543 548 724 822 1,086 1,096 1,448 1,644 1,781 2,172 2,353 3,288 3,562 4,344 4,706 5,343 7,059 7,124 9,412 10,686 14,118 14,248 18,824 21,372 24,797 28,236 42,744 49,594 56,472 74,391 99,188 148,782 198,376 297,564 322,361 595,128 644,722 967,083 1,289,444

Collatz Trajectory (186 steps to reach 1)

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

7,736,664 3,868,332 1,934,166 967,083 2,901,250 1,450,625 4,351,876 2,175,938 1,087,969 3,263,908 1,631,954 815,977 2,447,932 1,223,966 611,983 1,835,950 917,975 2,753,926 1,376,963 4,130,890 2,065,445 6,196,336 3,098,168 1,549,084 774,542 387,271 1,161,814 580,907 1,742,722 871,361 2,614,084 1,307,042 653,521 1,960,564 980,282 490,141 1,470,424 735,212 367,606 183,803 551,410 275,705 827,116 413,558 206,779 620,338 310,169 930,508 465,254 232,627 697,882 348,941 1,046,824 523,412 261,706 130,853 392,560 196,280 98,140 49,070

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