2,507,517

3⁵ × 17 × 607

2,507,517 has the prime decomposition 3^5 × 17 × 607. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 17 × 607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,983,616

Proper Divisor Sum 1,476,099

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2507489 ← → #2507567

Radix Representation

Decimal	2507517
Binary	1001100100001011111101 (22 bits)
Octal	0o11441375
Hexadecimal	0x2642FD

Divisor Catalog (24)

1 3 9 17 27 51 81 153 243 459 607 1,377 1,821 4,131 5,463 10,319 16,389 30,957 49,167 92,871 147,501 278,613 835,839 2,507,517

Collatz Trajectory (205 steps to reach 1)

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

2,507,517 7,522,552 3,761,276 1,880,638 940,319 2,820,958 1,410,479 4,231,438 2,115,719 6,347,158 3,173,579 9,520,738 4,760,369 14,281,108 7,140,554 3,570,277 10,710,832 5,355,416 2,677,708 1,338,854 669,427 2,008,282 1,004,141 3,012,424 1,506,212 753,106 376,553 1,129,660 564,830 282,415 847,246 423,623 1,270,870 635,435 1,906,306 953,153 2,859,460 1,429,730 714,865 2,144,596 1,072,298 536,149 1,608,448 804,224 402,112 201,056 100,528 50,264 25,132 12,566 6,283 18,850 9,425 28,276 14,138 7,069 21,208 10,604 5,302 2,651

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