7,148,752

2⁴ × 13 × 34369

7,148,752 factors as 2^4 × 13 × 34369. Its 20 positive divisors give a proper-divisor sum of 7,767,828, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 34369

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 14,916,580

Proper Divisor Sum 7,767,828

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7148749 ← → #7148753

Radix Representation

Decimal	7148752
Binary	11011010001010011010000 (23 bits)
Octal	0o33212320
Hexadecimal	0x6D14D0

Divisor Catalog (20)

Collatz Trajectory (191 steps to reach 1)

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

7,148,752 3,574,376 1,787,188 893,594 446,797 1,340,392 670,196 335,098 167,549 502,648 251,324 125,662 62,831 188,494 94,247 282,742 141,371 424,114 212,057 636,172 318,086 159,043 477,130 238,565 715,696 357,848 178,924 89,462 44,731 134,194 67,097 201,292 100,646 50,323 150,970 75,485 226,456 113,228 56,614 28,307 84,922 42,461 127,384 63,692 31,846 15,923 47,770 23,885 71,656 35,828 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559

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