7,401,459

3 × 13 × 173 × 1097

7,401,459 factors as 3 × 13 × 173 × 1097. Its 16 positive divisors give a proper-divisor sum of 3,297,453, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3 × 13 × 173 × 1097

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,698,912

Proper Divisor Sum 3,297,453

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7401413 ← → #7401479

Radix Representation

Decimal	7401459
Binary	11100001110111111110011 (23 bits)
Octal	0o34167763
Hexadecimal	0x70EFF3

Divisor Catalog (16)

1 3 13 39 173 519 1,097 2,249 3,291 6,747 14,261 42,783 189,781 569,343 2,467,153 7,401,459

Collatz Trajectory (142 steps to reach 1)

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

7,401,459 22,204,378 11,102,189 33,306,568 16,653,284 8,326,642 4,163,321 12,489,964 6,244,982 3,122,491 9,367,474 4,683,737 14,051,212 7,025,606 3,512,803 10,538,410 5,269,205 15,807,616 7,903,808 3,951,904 1,975,952 987,976 493,988 246,994 123,497 370,492 185,246 92,623 277,870 138,935 416,806 208,403 625,210 312,605 937,816 468,908 234,454 117,227 351,682 175,841 527,524 263,762 131,881 395,644 197,822 98,911 296,734 148,367 445,102 222,551 667,654 333,827 1,001,482 500,741 1,502,224 751,112 375,556 187,778 93,889 281,668

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