4,172,455

5 × 7 × 97 × 1229

Starting at 4,172,455, the Collatz iteration reaches 1 after 229 steps. The first transition is 12517366; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 97 × 1229

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,785,920

Proper Divisor Sum 1,613,465

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4172431 ← → #4172471

Radix Representation

Decimal	4172455
Binary	1111111010101010100111 (22 bits)
Octal	0o17725247
Hexadecimal	0x3FAAA7

Divisor Catalog (16)

1 5 7 35 97 485 679 1,229 3,395 6,145 8,603 43,015 119,213 596,065 834,491 4,172,455

Collatz Trajectory (229 steps to reach 1)

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

4,172,455 12,517,366 6,258,683 18,776,050 9,388,025 28,164,076 14,082,038 7,041,019 21,123,058 10,561,529 31,684,588 15,842,294 7,921,147 23,763,442 11,881,721 35,645,164 17,822,582 8,911,291 26,733,874 13,366,937 40,100,812 20,050,406 10,025,203 30,075,610 15,037,805 45,113,416 22,556,708 11,278,354 5,639,177 16,917,532 8,458,766 4,229,383 12,688,150 6,344,075 19,032,226 9,516,113 28,548,340 14,274,170 7,137,085 21,411,256 10,705,628 5,352,814 2,676,407 8,029,222 4,014,611 12,043,834 6,021,917 18,065,752 9,032,876 4,516,438 2,258,219 6,774,658 3,387,329 10,161,988 5,080,994 2,540,497 7,621,492 3,810,746 1,905,373 5,716,120

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