9,355,872

2⁵ × 3 × 41 × 2377

9,355,872 has digital root 3. The neighboring primes are 9355849 and 9355873; its proper-divisor sum differs from the starting integer by 6,457,008.

Prime Factor Structure

Factorization String 2^5 × 3 × 41 × 2377

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 25,168,752

Proper Divisor Sum 15,812,880

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9355849 ← → #9355873

Radix Representation

Decimal	9355872
Binary	100011101100001001100000 (24 bits)
Octal	0o43541140
Hexadecimal	0x8EC260

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1,312 1,968 2,377 3,936 4,754 7,131 9,508 14,262 19,016 28,524 38,032 57,048 76,064 97,457 114,096 194,914 228,192 292,371 389,828 584,742 779,656 1,169,484 1,559,312 2,338,968 3,118,624 4,677,936 9,355,872

Collatz Trajectory (150 steps to reach 1)

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

9,355,872 4,677,936 2,338,968 1,169,484 584,742 292,371 877,114 438,557 1,315,672 657,836 328,918 164,459 493,378 246,689 740,068 370,034 185,017 555,052 277,526 138,763 416,290 208,145 624,436 312,218 156,109 468,328 234,164 117,082 58,541 175,624 87,812 43,906 21,953 65,860 32,930 16,465 49,396 24,698 12,349 37,048 18,524 9,262 4,631 13,894 6,947 20,842 10,421 31,264 15,632 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275

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