7,320,450

2 × 3 × 5² × 37 × 1319

7,320,450 factors as 2 × 3 × 5^2 × 37 × 1319. Its 48 positive divisors give a proper-divisor sum of 11,339,070, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 37 × 1319

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,659,520

Proper Divisor Sum 11,339,070

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7320437 ← → #7320451

Radix Representation

Decimal	7320450
Binary	11011111011001110000010 (23 bits)
Octal	0o33731602
Hexadecimal	0x6FB382

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 925 1,110 1,319 1,850 2,638 2,775 3,957 5,550 6,595 7,914 13,190 19,785 32,975 39,570 48,803 65,950 97,606 98,925 146,409 197,850 244,015 292,818 488,030 732,045 1,220,075 1,464,090 2,440,150 3,660,225 7,320,450

Collatz Trajectory (235 steps to reach 1)

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

7,320,450 3,660,225 10,980,676 5,490,338 2,745,169 8,235,508 4,117,754 2,058,877 6,176,632 3,088,316 1,544,158 772,079 2,316,238 1,158,119 3,474,358 1,737,179 5,211,538 2,605,769 7,817,308 3,908,654 1,954,327 5,862,982 2,931,491 8,794,474 4,397,237 13,191,712 6,595,856 3,297,928 1,648,964 824,482 412,241 1,236,724 618,362 309,181 927,544 463,772 231,886 115,943 347,830 173,915 521,746 260,873 782,620 391,310 195,655 586,966 293,483 880,450 440,225 1,320,676 660,338 330,169 990,508 495,254 247,627 742,882 371,441 1,114,324 557,162 278,581

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