3,355,975

5² × 7 × 127 × 151

Starting at 3,355,975, the Collatz iteration reaches 1 after 159 steps. The first transition is 10067926; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 7 × 127 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,825,088

Proper Divisor Sum 1,469,113

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3355949 ← → #3355991

Radix Representation

Decimal	3355975
Binary	1100110011010101000111 (22 bits)
Octal	0o14632507
Hexadecimal	0x333547

Divisor Catalog (24)

1 5 7 25 35 127 151 175 635 755 889 1,057 3,175 3,775 4,445 5,285 19,177 22,225 26,425 95,885 134,239 479,425 671,195 3,355,975

Collatz Trajectory (159 steps to reach 1)

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

3,355,975 10,067,926 5,033,963 15,101,890 7,550,945 22,652,836 11,326,418 5,663,209 16,989,628 8,494,814 4,247,407 12,742,222 6,371,111 19,113,334 9,556,667 28,670,002 14,335,001 43,005,004 21,502,502 10,751,251 32,253,754 16,126,877 48,380,632 24,190,316 12,095,158 6,047,579 18,142,738 9,071,369 27,214,108 13,607,054 6,803,527 20,410,582 10,205,291 30,615,874 15,307,937 45,923,812 22,961,906 11,480,953 34,442,860 17,221,430 8,610,715 25,832,146 12,916,073 38,748,220 19,374,110 9,687,055 29,061,166 14,530,583 43,591,750 21,795,875 65,387,626 32,693,813 98,081,440 49,040,720 24,520,360 12,260,180 6,130,090 3,065,045 9,195,136 4,597,568

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