7,478,488

2³ × 934811

7,478,488 factors as 2^3 × 934811. Its 8 positive divisors give a proper-divisor sum of 6,543,692, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^3 × 934811

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,022,180

Proper Divisor Sum 6,543,692

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #7478479 ← → #7478507

Radix Representation

Decimal	7478488
Binary	11100100001110011011000 (23 bits)
Octal	0o34416330
Hexadecimal	0x721CD8

Divisor Catalog (8)

1 2 4 8 934,811 1,869,622 3,739,244 7,478,488

Collatz Trajectory (235 steps to reach 1)

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

7,478,488 3,739,244 1,869,622 934,811 2,804,434 1,402,217 4,206,652 2,103,326 1,051,663 3,154,990 1,577,495 4,732,486 2,366,243 7,098,730 3,549,365 10,648,096 5,324,048 2,662,024 1,331,012 665,506 332,753 998,260 499,130 249,565 748,696 374,348 187,174 93,587 280,762 140,381 421,144 210,572 105,286 52,643 157,930 78,965 236,896 118,448 59,224 29,612 14,806 7,403 22,210 11,105 33,316 16,658 8,329 24,988 12,494 6,247 18,742 9,371 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446

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