7,739,354

2 × 7² × 151 × 523

7,739,354 factors as 2 × 7^2 × 151 × 523. Its 24 positive divisors give a proper-divisor sum of 5,880,454, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 151 × 523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,619,808

Proper Divisor Sum 5,880,454

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7739353 ← → #7739359

Radix Representation

Decimal	7739354
Binary	11101100001011111011010 (23 bits)
Octal	0o35413732
Hexadecimal	0x7617DA

Divisor Catalog (24)

Collatz Trajectory (129 steps to reach 1)

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

7,739,354 3,869,677 11,609,032 5,804,516 2,902,258 1,451,129 4,353,388 2,176,694 1,088,347 3,265,042 1,632,521 4,897,564 2,448,782 1,224,391 3,673,174 1,836,587 5,509,762 2,754,881 8,264,644 4,132,322 2,066,161 6,198,484 3,099,242 1,549,621 4,648,864 2,324,432 1,162,216 581,108 290,554 145,277 435,832 217,916 108,958 54,479 163,438 81,719 245,158 122,579 367,738 183,869 551,608 275,804 137,902 68,951 206,854 103,427 310,282 155,141 465,424 232,712 116,356 58,178 29,089 87,268 43,634 21,817 65,452 32,726 16,363 49,090

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