5,840,352

2⁵ × 3² × 7 × 2897

Starting at 5,840,352, the Collatz iteration reaches 1 after 201 steps. The first transition is 2920176; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 2897

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 18,987,696

Proper Divisor Sum 13,147,344

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5840347 ← → #5840371

Radix Representation

Decimal	5840352
Binary	10110010001110111100000 (23 bits)
Octal	0o26216740
Hexadecimal	0x591DE0

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1,008 2,016 2,897 5,794 8,691 11,588 17,382 20,279 23,176 26,073 34,764 40,558 46,352 52,146 60,837 69,528 81,116 92,704 104,292 121,674 139,056 162,232 182,511 208,584 243,348 278,112

Collatz Trajectory (201 steps to reach 1)

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

5,840,352 2,920,176 1,460,088 730,044 365,022 182,511 547,534 273,767 821,302 410,651 1,231,954 615,977 1,847,932 923,966 461,983 1,385,950 692,975 2,078,926 1,039,463 3,118,390 1,559,195 4,677,586 2,338,793 7,016,380 3,508,190 1,754,095 5,262,286 2,631,143 7,893,430 3,946,715 11,840,146 5,920,073 17,760,220 8,880,110 4,440,055 13,320,166 6,660,083 19,980,250 9,990,125 29,970,376 14,985,188 7,492,594 3,746,297 11,238,892 5,619,446 2,809,723 8,429,170 4,214,585 12,643,756 6,321,878 3,160,939 9,482,818 4,741,409 14,224,228 7,112,114 3,556,057 10,668,172 5,334,086 2,667,043 8,001,130

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