8,152,360

2³ × 5 × 203809

Starting at 8,152,360, the Collatz iteration reaches 1 after 93 steps. The first transition is 4076180; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 203809

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,342,900

Proper Divisor Sum 10,190,540

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8152357 ← → #8152363

Radix Representation

Decimal	8152360
Binary	11111000110010100101000 (23 bits)
Octal	0o37062450
Hexadecimal	0x7C6528

Divisor Catalog (16)

1 2 4 5 8 10 20 40 203,809 407,618 815,236 1,019,045 1,630,472 2,038,090 4,076,180 8,152,360

Collatz Trajectory (93 steps to reach 1)

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

8,152,360 4,076,180 2,038,090 1,019,045 3,057,136 1,528,568 764,284 382,142 191,071 573,214 286,607 859,822 429,911 1,289,734 644,867 1,934,602 967,301 2,901,904 1,450,952 725,476 362,738 181,369 544,108 272,054 136,027 408,082 204,041 612,124 306,062 153,031 459,094 229,547 688,642 344,321 1,032,964 516,482 258,241 774,724 387,362 193,681 581,044 290,522 145,261 435,784 217,892 108,946 54,473 163,420 81,710 40,855 122,566 61,283 183,850 91,925 275,776 137,888 68,944 34,472 17,236 8,618

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