7,635,470

2 × 5 × 257 × 2971

7,635,470 factors as 2 × 5 × 257 × 2971. Its 16 positive divisors give a proper-divisor sum of 6,166,498, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2 × 5 × 257 × 2971

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,801,968

Proper Divisor Sum 6,166,498

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7635469 ← → #7635491

Radix Representation

Decimal	7635470
Binary	11101001000001000001110 (23 bits)
Octal	0o35101016
Hexadecimal	0x74820E

Divisor Catalog (16)

1 2 5 10 257 514 1,285 2,570 2,971 5,942 14,855 29,710 763,547 1,527,094 3,817,735 7,635,470

Collatz Trajectory (217 steps to reach 1)

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

7,635,470 3,817,735 11,453,206 5,726,603 17,179,810 8,589,905 25,769,716 12,884,858 6,442,429 19,327,288 9,663,644 4,831,822 2,415,911 7,247,734 3,623,867 10,871,602 5,435,801 16,307,404 8,153,702 4,076,851 12,230,554 6,115,277 18,345,832 9,172,916 4,586,458 2,293,229 6,879,688 3,439,844 1,719,922 859,961 2,579,884 1,289,942 644,971 1,934,914 967,457 2,902,372 1,451,186 725,593 2,176,780 1,088,390 544,195 1,632,586 816,293 2,448,880 1,224,440 612,220 306,110 153,055 459,166 229,583 688,750 344,375 1,033,126 516,563 1,549,690 774,845 2,324,536 1,162,268 581,134 290,567

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