7,415,601

3 × 53 × 46639

7,415,601 factors as 3 × 53 × 46639. Its 8 positive divisors give a proper-divisor sum of 2,658,639, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 3 × 53 × 46639

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,074,240

Proper Divisor Sum 2,658,639

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7415599 ← → #7415609

Radix Representation

Decimal	7415601
Binary	11100010010011100110001 (23 bits)
Octal	0o34223461
Hexadecimal	0x712731

Divisor Catalog (8)

1 3 53 159 46,639 139,917 2,471,867 7,415,601

Collatz Trajectory (204 steps to reach 1)

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

7,415,601 22,246,804 11,123,402 5,561,701 16,685,104 8,342,552 4,171,276 2,085,638 1,042,819 3,128,458 1,564,229 4,692,688 2,346,344 1,173,172 586,586 293,293 879,880 439,940 219,970 109,985 329,956 164,978 82,489 247,468 123,734 61,867 185,602 92,801 278,404 139,202 69,601 208,804 104,402 52,201 156,604 78,302 39,151 117,454 58,727 176,182 88,091 264,274 132,137 396,412 198,206 99,103 297,310 148,655 445,966 222,983 668,950 334,475 1,003,426 501,713 1,505,140 752,570 376,285 1,128,856 564,428 282,214

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