7,360,875

3⁴ × 5³ × 727

7,360,875 has digital root 9. The neighboring primes are 7360861 and 7360883; its proper-divisor sum differs from the starting integer by -980,022.

Prime Factor Structure

Factorization String 3^4 × 5^3 × 727

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 13,741,728

Proper Divisor Sum 6,380,853

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7360861 ← → #7360883

Radix Representation

Decimal	7360875
Binary	11100000101000101101011 (23 bits)
Octal	0o34050553
Hexadecimal	0x70516B

Divisor Catalog (40)

1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 675 727 1,125 2,025 2,181 3,375 3,635 6,543 10,125 10,905 18,175 19,629 32,715 54,525 58,887 90,875 98,145 163,575 272,625 294,435 490,725 817,875 1,472,175 2,453,625 7,360,875

Collatz Trajectory (173 steps to reach 1)

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

7,360,875 22,082,626 11,041,313 33,123,940 16,561,970 8,280,985 24,842,956 12,421,478 6,210,739 18,632,218 9,316,109 27,948,328 13,974,164 6,987,082 3,493,541 10,480,624 5,240,312 2,620,156 1,310,078 655,039 1,965,118 982,559 2,947,678 1,473,839 4,421,518 2,210,759 6,632,278 3,316,139 9,948,418 4,974,209 14,922,628 7,461,314 3,730,657 11,191,972 5,595,986 2,797,993 8,393,980 4,196,990 2,098,495 6,295,486 3,147,743 9,443,230 4,721,615 14,164,846 7,082,423 21,247,270 10,623,635 31,870,906 15,935,453 47,806,360 23,903,180 11,951,590 5,975,795 17,927,386 8,963,693 26,891,080 13,445,540 6,722,770 3,361,385 10,084,156

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