7,098,920

2³ × 5 × 177473

Starting at 7,098,920, the Collatz iteration reaches 1 after 222 steps. The first transition is 3549460; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 177473

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,972,660

Proper Divisor Sum 8,873,740

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7098901 ← → #7098937

Radix Representation

Decimal	7098920
Binary	11011000101001000101000 (23 bits)
Octal	0o33051050
Hexadecimal	0x6C5228

Divisor Catalog (16)

1 2 4 5 8 10 20 40 177,473 354,946 709,892 887,365 1,419,784 1,774,730 3,549,460 7,098,920

Collatz Trajectory (222 steps to reach 1)

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

7,098,920 3,549,460 1,774,730 887,365 2,662,096 1,331,048 665,524 332,762 166,381 499,144 249,572 124,786 62,393 187,180 93,590 46,795 140,386 70,193 210,580 105,290 52,645 157,936 78,968 39,484 19,742 9,871 29,614 14,807 44,422 22,211 66,634 33,317 99,952 49,976 24,988 12,494 6,247 18,742 9,371 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040

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