6,125,768

2³ × 11 × 151 × 461

Starting at 6,125,768, the Collatz iteration reaches 1 after 121 steps. The first transition is 3062884; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 151 × 461

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,640,320

Proper Divisor Sum 6,514,552

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6125761 ← → #6125773

Radix Representation

Decimal	6125768
Binary	10111010111100011001000 (23 bits)
Octal	0o27274310
Hexadecimal	0x5D78C8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 151 302 461 604 922 1,208 1,661 1,844 3,322 3,688 5,071 6,644 10,142 13,288 20,284 40,568 69,611 139,222 278,444 556,888 765,721 1,531,442 3,062,884 6,125,768

Collatz Trajectory (121 steps to reach 1)

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

6,125,768 3,062,884 1,531,442 765,721 2,297,164 1,148,582 574,291 1,722,874 861,437 2,584,312 1,292,156 646,078 323,039 969,118 484,559 1,453,678 726,839 2,180,518 1,090,259 3,270,778 1,635,389 4,906,168 2,453,084 1,226,542 613,271 1,839,814 919,907 2,759,722 1,379,861 4,139,584 2,069,792 1,034,896 517,448 258,724 129,362 64,681 194,044 97,022 48,511 145,534 72,767 218,302 109,151 327,454 163,727 491,182 245,591 736,774 368,387 1,105,162 552,581 1,657,744 828,872 414,436 207,218 103,609 310,828 155,414 77,707 233,122

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