7,182,505

5 × 11 × 43 × 3037

Starting at 7,182,505, the Collatz iteration reaches 1 after 297 steps. The first transition is 21547516; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 43 × 3037

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,624,384

Proper Divisor Sum 2,441,879

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7182473 ← → #7182529

Radix Representation

Decimal	7182505
Binary	11011011001100010101001 (23 bits)
Octal	0o33314251
Hexadecimal	0x6D98A9

Divisor Catalog (16)

1 5 11 43 55 215 473 2,365 3,037 15,185 33,407 130,591 167,035 652,955 1,436,501 7,182,505

Collatz Trajectory (297 steps to reach 1)

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

7,182,505 21,547,516 10,773,758 5,386,879 16,160,638 8,080,319 24,240,958 12,120,479 36,361,438 18,180,719 54,542,158 27,271,079 81,813,238 40,906,619 122,719,858 61,359,929 184,079,788 92,039,894 46,019,947 138,059,842 69,029,921 207,089,764 103,544,882 51,772,441 155,317,324 77,658,662 38,829,331 116,487,994 58,243,997 174,731,992 87,365,996 43,682,998 21,841,499 65,524,498 32,762,249 98,286,748 49,143,374 24,571,687 73,715,062 36,857,531 110,572,594 55,286,297 165,858,892 82,929,446 41,464,723 124,394,170 62,197,085 186,591,256 93,295,628 46,647,814 23,323,907 69,971,722 34,985,861 104,957,584 52,478,792 26,239,396 13,119,698 6,559,849 19,679,548 9,839,774

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