7,165,424

2⁴ × 7 × 63977

Starting at 7,165,424, the Collatz iteration reaches 1 after 98 steps. The first transition is 3582712; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 63977

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 15,866,544

Proper Divisor Sum 8,701,120

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7165423 ← → #7165427

Radix Representation

Decimal	7165424
Binary	11011010101010111110000 (23 bits)
Octal	0o33252760
Hexadecimal	0x6D55F0

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 63,977 127,954 255,908 447,839 511,816 895,678 1,023,632 1,791,356 3,582,712 7,165,424

Collatz Trajectory (98 steps to reach 1)

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

7,165,424 3,582,712 1,791,356 895,678 447,839 1,343,518 671,759 2,015,278 1,007,639 3,022,918 1,511,459 4,534,378 2,267,189 6,801,568 3,400,784 1,700,392 850,196 425,098 212,549 637,648 318,824 159,412 79,706 39,853 119,560 59,780 29,890 14,945 44,836 22,418 11,209 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264

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