6,537,968

2⁴ × 408623

Starting at 6,537,968, the Collatz iteration reaches 1 after 90 steps. The first transition is 3268984; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 408623

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 12,667,344

Proper Divisor Sum 6,129,376

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #6537959 ← → #6537977

Radix Representation

Decimal	6537968
Binary	11000111100001011110000 (23 bits)
Octal	0o30741360
Hexadecimal	0x63C2F0

Divisor Catalog (10)

1 2 4 8 16 408,623 817,246 1,634,492 3,268,984 6,537,968

Collatz Trajectory (90 steps to reach 1)

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

6,537,968 3,268,984 1,634,492 817,246 408,623 1,225,870 612,935 1,838,806 919,403 2,758,210 1,379,105 4,137,316 2,068,658 1,034,329 3,102,988 1,551,494 775,747 2,327,242 1,163,621 3,490,864 1,745,432 872,716 436,358 218,179 654,538 327,269 981,808 490,904 245,452 122,726 61,363 184,090 92,045 276,136 138,068 69,034 34,517 103,552 51,776 25,888 12,944 6,472 3,236 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154

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