5,858,415

3² × 5 × 211 × 617

Starting at 5,858,415, the Collatz iteration reaches 1 after 152 steps. The first transition is 17575246; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 211 × 617

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,219,248

Proper Divisor Sum 4,360,833

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5858407 ← → #5858417

Radix Representation

Decimal	5858415
Binary	10110010110010001101111 (23 bits)
Octal	0o26262157
Hexadecimal	0x59646F

Divisor Catalog (24)

1 3 5 9 15 45 211 617 633 1,055 1,851 1,899 3,085 3,165 5,553 9,255 9,495 27,765 130,187 390,561 650,935 1,171,683 1,952,805 5,858,415

Collatz Trajectory (152 steps to reach 1)

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

5,858,415 17,575,246 8,787,623 26,362,870 13,181,435 39,544,306 19,772,153 59,316,460 29,658,230 14,829,115 44,487,346 22,243,673 66,731,020 33,365,510 16,682,755 50,048,266 25,024,133 75,072,400 37,536,200 18,768,100 9,384,050 4,692,025 14,076,076 7,038,038 3,519,019 10,557,058 5,278,529 15,835,588 7,917,794 3,958,897 11,876,692 5,938,346 2,969,173 8,907,520 4,453,760 2,226,880 1,113,440 556,720 278,360 139,180 69,590 34,795 104,386 52,193 156,580 78,290 39,145 117,436 58,718 29,359 88,078 44,039 132,118 66,059 198,178 99,089 297,268 148,634 74,317 222,952

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