7,086,472

2³ × 47² × 401

7,086,472 factors as 2^3 × 47^2 × 401. Its 24 positive divisors give a proper-divisor sum of 6,523,238, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^3 × 47^2 × 401

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,609,710

Proper Divisor Sum 6,523,238

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7086451 ← → #7086479

Radix Representation

Decimal	7086472
Binary	11011000010000110001000 (23 bits)
Octal	0o33020610
Hexadecimal	0x6C2188

Divisor Catalog (24)

1 2 4 8 47 94 188 376 401 802 1,604 2,209 3,208 4,418 8,836 17,672 18,847 37,694 75,388 150,776 885,809 1,771,618 3,543,236 7,086,472

Collatz Trajectory (235 steps to reach 1)

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

7,086,472 3,543,236 1,771,618 885,809 2,657,428 1,328,714 664,357 1,993,072 996,536 498,268 249,134 124,567 373,702 186,851 560,554 280,277 840,832 420,416 210,208 105,104 52,552 26,276 13,138 6,569 19,708 9,854 4,927 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496

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