5,802,146

2 × 7 × 29 × 31 × 461

Starting at 5,802,146, the Collatz iteration reaches 1 after 276 steps. The first transition is 2901073; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 29 × 31 × 461

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,644,480

Proper Divisor Sum 4,842,334

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #5802143 ← → #5802149

Radix Representation

Decimal	5802146
Binary	10110001000100010100010 (23 bits)
Octal	0o26104242
Hexadecimal	0x5888A2

Divisor Catalog (32)

1 2 7 14 29 31 58 62 203 217 406 434 461 899 922 1,798 3,227 6,293 6,454 12,586 13,369 14,291 26,738 28,582 93,583 100,037 187,166 200,074 414,439 828,878 2,901,073 5,802,146

Collatz Trajectory (276 steps to reach 1)

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

5,802,146 2,901,073 8,703,220 4,351,610 2,175,805 6,527,416 3,263,708 1,631,854 815,927 2,447,782 1,223,891 3,671,674 1,835,837 5,507,512 2,753,756 1,376,878 688,439 2,065,318 1,032,659 3,097,978 1,548,989 4,646,968 2,323,484 1,161,742 580,871 1,742,614 871,307 2,613,922 1,306,961 3,920,884 1,960,442 980,221 2,940,664 1,470,332 735,166 367,583 1,102,750 551,375 1,654,126 827,063 2,481,190 1,240,595 3,721,786 1,860,893 5,582,680 2,791,340 1,395,670 697,835 2,093,506 1,046,753 3,140,260 1,570,130 785,065 2,355,196 1,177,598 588,799 1,766,398 883,199 2,649,598 1,324,799

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