7,724,002

2 × 11 × 13 × 113 × 239

7,724,002 has the prime decomposition 2 × 11 × 13 × 113 × 239. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 113 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,789,440

Proper Divisor Sum 6,065,438

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7723999 ← → #7724033

Radix Representation

Decimal	7724002
Binary	11101011101101111100010 (23 bits)
Octal	0o35355742
Hexadecimal	0x75DBE2

Divisor Catalog (32)

1 2 11 13 22 26 113 143 226 239 286 478 1,243 1,469 2,486 2,629 2,938 3,107 5,258 6,214 16,159 27,007 32,318 34,177 54,014 68,354 297,077 351,091 594,154 702,182 3,862,001 7,724,002

Collatz Trajectory (248 steps to reach 1)

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

7,724,002 3,862,001 11,586,004 5,793,002 2,896,501 8,689,504 4,344,752 2,172,376 1,086,188 543,094 271,547 814,642 407,321 1,221,964 610,982 305,491 916,474 458,237 1,374,712 687,356 343,678 171,839 515,518 257,759 773,278 386,639 1,159,918 579,959 1,739,878 869,939 2,609,818 1,304,909 3,914,728 1,957,364 978,682 489,341 1,468,024 734,012 367,006 183,503 550,510 275,255 825,766 412,883 1,238,650 619,325 1,857,976 928,988 464,494 232,247 696,742 348,371 1,045,114 522,557 1,567,672 783,836 391,918 195,959 587,878 293,939

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