7,553,117

11 × 13² × 17 × 239

7,553,117 factors as 11 × 13^2 × 17 × 239. Its 24 positive divisors give a proper-divisor sum of 1,933,603, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 11 × 13^2 × 17 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,486,720

Proper Divisor Sum 1,933,603

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7553059 ← → #7553123

Radix Representation

Decimal	7553117
Binary	11100110100000001011101 (23 bits)
Octal	0o34640135
Hexadecimal	0x73405D

Divisor Catalog (24)

Collatz Trajectory (129 steps to reach 1)

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

7,553,117 22,659,352 11,329,676 5,664,838 2,832,419 8,497,258 4,248,629 12,745,888 6,372,944 3,186,472 1,593,236 796,618 398,309 1,194,928 597,464 298,732 149,366 74,683 224,050 112,025 336,076 168,038 84,019 252,058 126,029 378,088 189,044 94,522 47,261 141,784 70,892 35,446 17,723 53,170 26,585 79,756 39,878 19,939 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336

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