7,202,831

277 × 26003

Starting at 7,202,831, the Collatz iteration reaches 1 after 90 steps. The first transition is 21608494; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 277 × 26003

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,229,112

Proper Divisor Sum 26,281

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7202813 ← → #7202857

Radix Representation

Decimal	7202831
Binary	11011011110100000001111 (23 bits)
Octal	0o33364017
Hexadecimal	0x6DE80F

Divisor Catalog (4)

1 277 26,003 7,202,831

Collatz Trajectory (90 steps to reach 1)

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

7,202,831 21,608,494 10,804,247 32,412,742 16,206,371 48,619,114 24,309,557 72,928,672 36,464,336 18,232,168 9,116,084 4,558,042 2,279,021 6,837,064 3,418,532 1,709,266 854,633 2,563,900 1,281,950 640,975 1,922,926 961,463 2,884,390 1,442,195 4,326,586 2,163,293 6,489,880 3,244,940 1,622,470 811,235 2,433,706 1,216,853 3,650,560 1,825,280 912,640 456,320 228,160 114,080 57,040 28,520 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271

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