7,800,310

2 × 5 × 7² × 15919

7,800,310 factors as 2 × 5 × 7^2 × 15919. Its 24 positive divisors give a proper-divisor sum of 8,533,610, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 15919

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,333,920

Proper Divisor Sum 8,533,610

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #7800307 ← → #7800311

Radix Representation

Decimal	7800310
Binary	11101110000010111110110 (23 bits)
Octal	0o35602766
Hexadecimal	0x7705F6

Divisor Catalog (24)

Collatz Trajectory (124 steps to reach 1)

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

7,800,310 3,900,155 11,700,466 5,850,233 17,550,700 8,775,350 4,387,675 13,163,026 6,581,513 19,744,540 9,872,270 4,936,135 14,808,406 7,404,203 22,212,610 11,106,305 33,318,916 16,659,458 8,329,729 24,989,188 12,494,594 6,247,297 18,741,892 9,370,946 4,685,473 14,056,420 7,028,210 3,514,105 10,542,316 5,271,158 2,635,579 7,906,738 3,953,369 11,860,108 5,930,054 2,965,027 8,895,082 4,447,541 13,342,624 6,671,312 3,335,656 1,667,828 833,914 416,957 1,250,872 625,436 312,718 156,359 469,078 234,539 703,618 351,809 1,055,428 527,714 263,857 791,572 395,786 197,893 593,680 296,840

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