5,952,219

3 × 7 × 13 × 21803

Starting at 5,952,219, the Collatz iteration reaches 1 after 121 steps. The first transition is 17856658; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 21803

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,768,192

Proper Divisor Sum 3,815,973

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5952209 ← → #5952241

Radix Representation

Decimal	5952219
Binary	10110101101001011011011 (23 bits)
Octal	0o26551333
Hexadecimal	0x5AD2DB

Divisor Catalog (16)

1 3 7 13 21 39 91 273 21,803 65,409 152,621 283,439 457,863 850,317 1,984,073 5,952,219

Collatz Trajectory (121 steps to reach 1)

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

5,952,219 17,856,658 8,928,329 26,784,988 13,392,494 6,696,247 20,088,742 10,044,371 30,133,114 15,066,557 45,199,672 22,599,836 11,299,918 5,649,959 16,949,878 8,474,939 25,424,818 12,712,409 38,137,228 19,068,614 9,534,307 28,602,922 14,301,461 42,904,384 21,452,192 10,726,096 5,363,048 2,681,524 1,340,762 670,381 2,011,144 1,005,572 502,786 251,393 754,180 377,090 188,545 565,636 282,818 141,409 424,228 212,114 106,057 318,172 159,086 79,543 238,630 119,315 357,946 178,973 536,920 268,460 134,230 67,115 201,346 100,673 302,020 151,010 75,505 226,516

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