8,235,857

7 × 47 × 25033

Starting at 8,235,857, the Collatz iteration reaches 1 after 230 steps. The first transition is 24707572; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 47 × 25033

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,613,056

Proper Divisor Sum 1,377,199

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8235827 ← → #8235859

Radix Representation

Decimal	8235857
Binary	11111011010101101010001 (23 bits)
Octal	0o37325521
Hexadecimal	0x7DAB51

Divisor Catalog (8)

1 7 47 329 25,033 175,231 1,176,551 8,235,857

Collatz Trajectory (230 steps to reach 1)

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

8,235,857 24,707,572 12,353,786 6,176,893 18,530,680 9,265,340 4,632,670 2,316,335 6,949,006 3,474,503 10,423,510 5,211,755 15,635,266 7,817,633 23,452,900 11,726,450 5,863,225 17,589,676 8,794,838 4,397,419 13,192,258 6,596,129 19,788,388 9,894,194 4,947,097 14,841,292 7,420,646 3,710,323 11,130,970 5,565,485 16,696,456 8,348,228 4,174,114 2,087,057 6,261,172 3,130,586 1,565,293 4,695,880 2,347,940 1,173,970 586,985 1,760,956 880,478 440,239 1,320,718 660,359 1,981,078 990,539 2,971,618 1,485,809 4,457,428 2,228,714 1,114,357 3,343,072 1,671,536 835,768 417,884 208,942 104,471 313,414

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