7,054,432

2⁵ × 7² × 11 × 409

7,054,432 factors as 2^5 × 7^2 × 11 × 409. Its 72 positive divisors give a proper-divisor sum of 10,613,288, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^5 × 7^2 × 11 × 409

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 17,667,720

Proper Divisor Sum 10,613,288

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7054427 ← → #7054433

Radix Representation

Decimal	7054432
Binary	11010111010010001100000 (23 bits)
Octal	0o32722140
Hexadecimal	0x6BA460

Divisor Catalog (60 of 72)

1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 409 539 616 784 818 1,078 1,232 1,568 1,636 2,156 2,464 2,863 3,272 4,312 4,499 5,726 6,544 8,624 8,998 11,452 13,088 17,248 17,996 20,041 22,904 31,493 35,992 40,082 45,808 62,986 71,984 80,164 91,616 125,972 143,968

Collatz Trajectory (191 steps to reach 1)

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

7,054,432 3,527,216 1,763,608 881,804 440,902 220,451 661,354 330,677 992,032 496,016 248,008 124,004 62,002 31,001 93,004 46,502 23,251 69,754 34,877 104,632 52,316 26,158 13,079 39,238 19,619 58,858 29,429 88,288 44,144 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246

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