7,437,853

163 × 45631

Starting at 7,437,853, the Collatz iteration reaches 1 after 173 steps. The first transition is 22313560; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 163 × 45631

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,483,648

Proper Divisor Sum 45,795

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7437821 ← → #7437887

Radix Representation

Decimal	7437853
Binary	11100010111111000011101 (23 bits)
Octal	0o34277035
Hexadecimal	0x717E1D

Divisor Catalog (4)

1 163 45,631 7,437,853

Collatz Trajectory (173 steps to reach 1)

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

7,437,853 22,313,560 11,156,780 5,578,390 2,789,195 8,367,586 4,183,793 12,551,380 6,275,690 3,137,845 9,413,536 4,706,768 2,353,384 1,176,692 588,346 294,173 882,520 441,260 220,630 110,315 330,946 165,473 496,420 248,210 124,105 372,316 186,158 93,079 279,238 139,619 418,858 209,429 628,288 314,144 157,072 78,536 39,268 19,634 9,817 29,452 14,726 7,363 22,090 11,045 33,136 16,568 8,284 4,142 2,071 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312

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