7,362,000

2⁴ × 3² × 5³ × 409

7,362,000 factors as 2^4 × 3^2 × 5^3 × 409. Its 120 positive divisors give a proper-divisor sum of 18,413,880, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^3 × 409

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 25,775,880

Proper Divisor Sum 18,413,880

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #7361999 ← → #7362011

Radix Representation

Decimal	7362000
Binary	11100000101010111010000 (23 bits)
Octal	0o34052720
Hexadecimal	0x7055D0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 409 450 500 600 720 750 818 900 1,000 1,125 1,200 1,227 1,500 1,636 1,800 2,000 2,045 2,250 2,454

Collatz Trajectory (142 steps to reach 1)

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

7,362,000 3,681,000 1,840,500 920,250 460,125 1,380,376 690,188 345,094 172,547 517,642 258,821 776,464 388,232 194,116 97,058 48,529 145,588 72,794 36,397 109,192 54,596 27,298 13,649 40,948 20,474 10,237 30,712 15,356 7,678 3,839 11,518 5,759 17,278 8,639 25,918 12,959 38,878 19,439 58,318 29,159 87,478 43,739 131,218 65,609 196,828 98,414 49,207 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838 93,419 280,258

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,361,999 Browse Full Index Next Integer #7,362,001 →