8,172,521

7 × 23² × 2207

8,172,521 has the prime decomposition 7 × 23^2 × 2207. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 7 × 23^2 × 2207

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,768,192

Proper Divisor Sum 1,595,671

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8172517 ← → #8172539

Radix Representation

Decimal	8172521
Binary	11111001011001111101001 (23 bits)
Octal	0o37131751
Hexadecimal	0x7CB3E9

Divisor Catalog (12)

1 7 23 161 529 2,207 3,703 15,449 50,761 355,327 1,167,503 8,172,521

Collatz Trajectory (292 steps to reach 1)

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

8,172,521 24,517,564 12,258,782 6,129,391 18,388,174 9,194,087 27,582,262 13,791,131 41,373,394 20,686,697 62,060,092 31,030,046 15,515,023 46,545,070 23,272,535 69,817,606 34,908,803 104,726,410 52,363,205 157,089,616 78,544,808 39,272,404 19,636,202 9,818,101 29,454,304 14,727,152 7,363,576 3,681,788 1,840,894 920,447 2,761,342 1,380,671 4,142,014 2,071,007 6,213,022 3,106,511 9,319,534 4,659,767 13,979,302 6,989,651 20,968,954 10,484,477 31,453,432 15,726,716 7,863,358 3,931,679 11,795,038 5,897,519 17,692,558 8,846,279 26,538,838 13,269,419 39,808,258 19,904,129 59,712,388 29,856,194 14,928,097 44,784,292 22,392,146 11,196,073

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