6,977,220

2² × 3 × 5 × 103 × 1129

Starting at 6,977,220, the Collatz iteration reaches 1 after 98 steps. The first transition is 3488610; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 103 × 1129

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,743,360

Proper Divisor Sum 12,766,140

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6977219 ← → #6977221

Radix Representation

Decimal	6977220
Binary	11010100111011011000100 (23 bits)
Octal	0o32473304
Hexadecimal	0x6A76C4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1,030 1,129 1,236 1,545 2,060 2,258 3,090 3,387 4,516 5,645 6,180 6,774 11,290 13,548 16,935 22,580 33,870 67,740 116,287 232,574 348,861 465,148 581,435 697,722 1,162,870 1,395,444 1,744,305 2,325,740 3,488,610 6,977,220

Collatz Trajectory (98 steps to reach 1)

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

6,977,220 3,488,610 1,744,305 5,232,916 2,616,458 1,308,229 3,924,688 1,962,344 981,172 490,586 245,293 735,880 367,940 183,970 91,985 275,956 137,978 68,989 206,968 103,484 51,742 25,871 77,614 38,807 116,422 58,211 174,634 87,317 261,952 130,976 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381

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