9,494,415

3⁴ × 5 × 7 × 17 × 197

9,494,415 factors as 3^4 × 5 × 7 × 17 × 197. Its 80 positive divisors give a proper-divisor sum of 11,205,297, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 17 × 197

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 20,699,712

Proper Divisor Sum 11,205,297

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9494399 ← → #9494417

Radix Representation

Decimal	9494415
Binary	100100001101111110001111 (24 bits)
Octal	0o44157617
Hexadecimal	0x90DF8F

Divisor Catalog (60 of 80)

1 3 5 7 9 15 17 21 27 35 45 51 63 81 85 105 119 135 153 189 197 255 315 357 405 459 567 591 595 765 945 985 1,071 1,377 1,379 1,773 1,785 2,295 2,835 2,955 3,213 3,349 4,137 5,319 5,355 6,885 6,895 8,865 9,639 10,047 12,411 15,957 16,065 16,745 20,685 23,443 26,595 30,141 37,233 48,195

Collatz Trajectory (181 steps to reach 1)

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

9,494,415 28,483,246 14,241,623 42,724,870 21,362,435 64,087,306 32,043,653 96,130,960 48,065,480 24,032,740 12,016,370 6,008,185 18,024,556 9,012,278 4,506,139 13,518,418 6,759,209 20,277,628 10,138,814 5,069,407 15,208,222 7,604,111 22,812,334 11,406,167 34,218,502 17,109,251 51,327,754 25,663,877 76,991,632 38,495,816 19,247,908 9,623,954 4,811,977 14,435,932 7,217,966 3,608,983 10,826,950 5,413,475 16,240,426 8,120,213 24,360,640 12,180,320 6,090,160 3,045,080 1,522,540 761,270 380,635 1,141,906 570,953 1,712,860 856,430 428,215 1,284,646 642,323 1,926,970 963,485 2,890,456 1,445,228 722,614 361,307

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