3,627,501

3 × 127 × 9521

3,627,501 has digital root 6. The neighboring primes are 3627493 and 3627529; its proper-divisor sum differs from the starting integer by -2,379,738.

Prime Factor Structure

Factorization String 3 × 127 × 9521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,875,264

Proper Divisor Sum 1,247,763

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3627493 ← → #3627529

Radix Representation

Decimal	3627501
Binary	1101110101100111101101 (22 bits)
Octal	0o15654755
Hexadecimal	0x3759ED

Divisor Catalog (8)

1 3 127 381 9,521 28,563 1,209,167 3,627,501

Collatz Trajectory (190 steps to reach 1)

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

3,627,501 10,882,504 5,441,252 2,720,626 1,360,313 4,080,940 2,040,470 1,020,235 3,060,706 1,530,353 4,591,060 2,295,530 1,147,765 3,443,296 1,721,648 860,824 430,412 215,206 107,603 322,810 161,405 484,216 242,108 121,054 60,527 181,582 90,791 272,374 136,187 408,562 204,281 612,844 306,422 153,211 459,634 229,817 689,452 344,726 172,363 517,090 258,545 775,636 387,818 193,909 581,728 290,864 145,432 72,716 36,358 18,179 54,538 27,269 81,808 40,904 20,452 10,226 5,113 15,340 7,670 3,835

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