6,975,464

2³ × 89 × 97 × 101

Starting at 6,975,464, the Collatz iteration reaches 1 after 160 steps. The first transition is 3487732; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 89 × 97 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,494,600

Proper Divisor Sum 6,519,136

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #6975461 ← → #6975467

Radix Representation

Decimal	6975464
Binary	11010100110111111101000 (23 bits)
Octal	0o32467750
Hexadecimal	0x6A6FE8

Divisor Catalog (32)

1 2 4 8 89 97 101 178 194 202 356 388 404 712 776 808 8,633 8,989 9,797 17,266 17,978 19,594 34,532 35,956 39,188 69,064 71,912 78,376 871,933 1,743,866 3,487,732 6,975,464

Collatz Trajectory (160 steps to reach 1)

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

6,975,464 3,487,732 1,743,866 871,933 2,615,800 1,307,900 653,950 326,975 980,926 490,463 1,471,390 735,695 2,207,086 1,103,543 3,310,630 1,655,315 4,965,946 2,482,973 7,448,920 3,724,460 1,862,230 931,115 2,793,346 1,396,673 4,190,020 2,095,010 1,047,505 3,142,516 1,571,258 785,629 2,356,888 1,178,444 589,222 294,611 883,834 441,917 1,325,752 662,876 331,438 165,719 497,158 248,579 745,738 372,869 1,118,608 559,304 279,652 139,826 69,913 209,740 104,870 52,435 157,306 78,653 235,960 117,980 58,990 29,495 88,486 44,243

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