7,410,488

2³ × 31 × 29881

7,410,488 factors as 2^3 × 31 × 29881. Its 16 positive divisors give a proper-divisor sum of 6,932,872, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 29881

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,343,360

Proper Divisor Sum 6,932,872

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7410451 ← → #7410493

Radix Representation

Decimal	7410488
Binary	11100010001001100111000 (23 bits)
Octal	0o34211470
Hexadecimal	0x711338

Divisor Catalog (16)

1 2 4 8 31 62 124 248 29,881 59,762 119,524 239,048 926,311 1,852,622 3,705,244 7,410,488

Collatz Trajectory (235 steps to reach 1)

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

7,410,488 3,705,244 1,852,622 926,311 2,778,934 1,389,467 4,168,402 2,084,201 6,252,604 3,126,302 1,563,151 4,689,454 2,344,727 7,034,182 3,517,091 10,551,274 5,275,637 15,826,912 7,913,456 3,956,728 1,978,364 989,182 494,591 1,483,774 741,887 2,225,662 1,112,831 3,338,494 1,669,247 5,007,742 2,503,871 7,511,614 3,755,807 11,267,422 5,633,711 16,901,134 8,450,567 25,351,702 12,675,851 38,027,554 19,013,777 57,041,332 28,520,666 14,260,333 42,781,000 21,390,500 10,695,250 5,347,625 16,042,876 8,021,438 4,010,719 12,032,158 6,016,079 18,048,238 9,024,119 27,072,358 13,536,179 40,608,538 20,304,269 60,912,808

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