5,812,352

2⁷ × 7 × 13 × 499

Starting at 5,812,352, the Collatz iteration reaches 1 after 108 steps. The first transition is 2906176; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 7 × 13 × 499

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 14,280,000

Proper Divisor Sum 8,467,648

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #5812343 ← → #5812361

Radix Representation

Decimal	5812352
Binary	10110001011000010000000 (23 bits)
Octal	0o26130200
Hexadecimal	0x58B080

Divisor Catalog (60 of 64)

1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 499 728 832 896 998 1,456 1,664 1,996 2,912 3,493 3,992 5,824 6,487 6,986 7,984 11,648 12,974 13,972 15,968 25,948 27,944 31,936 45,409 51,896 55,888 63,872 90,818 103,792 111,776 181,636 207,584 223,552 363,272 415,168 447,104 726,544

Collatz Trajectory (108 steps to reach 1)

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

5,812,352 2,906,176 1,453,088 726,544 363,272 181,636 90,818 45,409 136,228 68,114 34,057 102,172 51,086 25,543 76,630 38,315 114,946 57,473 172,420 86,210 43,105 129,316 64,658 32,329 96,988 48,494 24,247 72,742 36,371 109,114 54,557 163,672 81,836 40,918 20,459 61,378 30,689 92,068 46,034 23,017 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098 65,549 196,648 98,324 49,162 24,581 73,744 36,872

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