4,402,365

3 × 5 × 11 × 26681

Starting at 4,402,365, the Collatz iteration reaches 1 after 149 steps. The first transition is 13207096; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 26681

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,684,416

Proper Divisor Sum 3,282,051

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4402351 ← → #4402373

Radix Representation

Decimal	4402365
Binary	10000110010110010111101 (23 bits)
Octal	0o20626275
Hexadecimal	0x432CBD

Divisor Catalog (16)

1 3 5 11 15 33 55 165 26,681 80,043 133,405 293,491 400,215 880,473 1,467,455 4,402,365

Collatz Trajectory (149 steps to reach 1)

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

4,402,365 13,207,096 6,603,548 3,301,774 1,650,887 4,952,662 2,476,331 7,428,994 3,714,497 11,143,492 5,571,746 2,785,873 8,357,620 4,178,810 2,089,405 6,268,216 3,134,108 1,567,054 783,527 2,350,582 1,175,291 3,525,874 1,762,937 5,288,812 2,644,406 1,322,203 3,966,610 1,983,305 5,949,916 2,974,958 1,487,479 4,462,438 2,231,219 6,693,658 3,346,829 10,040,488 5,020,244 2,510,122 1,255,061 3,765,184 1,882,592 941,296 470,648 235,324 117,662 58,831 176,494 88,247 264,742 132,371 397,114 198,557 595,672 297,836 148,918 74,459 223,378 111,689 335,068 167,534

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