5,778,235

5 × 211 × 5477

Starting at 5,778,235, the Collatz iteration reaches 1 after 152 steps. The first transition is 17334706; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 211 × 5477

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,968,016

Proper Divisor Sum 1,189,781

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #5778233 ← → #5778251

Radix Representation

Decimal	5778235
Binary	10110000010101100111011 (23 bits)
Octal	0o26025473
Hexadecimal	0x582B3B

Divisor Catalog (8)

1 5 211 1,055 5,477 27,385 1,155,647 5,778,235

Collatz Trajectory (152 steps to reach 1)

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

5,778,235 17,334,706 8,667,353 26,002,060 13,001,030 6,500,515 19,501,546 9,750,773 29,252,320 14,626,160 7,313,080 3,656,540 1,828,270 914,135 2,742,406 1,371,203 4,113,610 2,056,805 6,170,416 3,085,208 1,542,604 771,302 385,651 1,156,954 578,477 1,735,432 867,716 433,858 216,929 650,788 325,394 162,697 488,092 244,046 122,023 366,070 183,035 549,106 274,553 823,660 411,830 205,915 617,746 308,873 926,620 463,310 231,655 694,966 347,483 1,042,450 521,225 1,563,676 781,838 390,919 1,172,758 586,379 1,759,138 879,569 2,638,708 1,319,354

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