9,377,440

2⁵ × 5 × 29 × 43 × 47

9,377,440 factors as 2^5 × 5 × 29 × 43 × 47. Its 96 positive divisors give a proper-divisor sum of 14,572,640, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 29 × 43 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 23,950,080

Proper Divisor Sum 14,572,640

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9377437 ← → #9377441

Radix Representation

Decimal	9377440
Binary	100011110001011010100000 (24 bits)
Octal	0o43613240
Hexadecimal	0x8F16A0

Divisor Catalog (60 of 96)

1 2 4 5 8 10 16 20 29 32 40 43 47 58 80 86 94 116 145 160 172 188 215 232 235 290 344 376 430 464 470 580 688 752 860 928 940 1,160 1,247 1,363 1,376 1,504 1,720 1,880 2,021 2,320 2,494 2,726 3,440 3,760 4,042 4,640 4,988 5,452 6,235 6,815 6,880 7,520 8,084 9,976

Collatz Trajectory (106 steps to reach 1)

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

9,377,440 4,688,720 2,344,360 1,172,180 586,090 293,045 879,136 439,568 219,784 109,892 54,946 27,473 82,420 41,210 20,605 61,816 30,908 15,454 7,727 23,182 11,591 34,774 17,387 52,162 26,081 78,244 39,122 19,561 58,684 29,342 14,671 44,014 22,007 66,022 33,011 99,034 49,517 148,552 74,276 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 59,494

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