3,601,157

7³ × 10499

Starting at 3,601,157, the Collatz iteration reaches 1 after 89 steps. The first transition is 10803472; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7^3 × 10499

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,200,000

Proper Divisor Sum 598,843

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3601151 ← → #3601193

Radix Representation

Decimal	3601157
Binary	1101101111001100000101 (22 bits)
Octal	0o15571405
Hexadecimal	0x36F305

Divisor Catalog (8)

1 7 49 343 10,499 73,493 514,451 3,601,157

Collatz Trajectory (89 steps to reach 1)

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

3,601,157 10,803,472 5,401,736 2,700,868 1,350,434 675,217 2,025,652 1,012,826 506,413 1,519,240 759,620 379,810 189,905 569,716 284,858 142,429 427,288 213,644 106,822 53,411 160,234 80,117 240,352 120,176 60,088 30,044 15,022 7,511 22,534 11,267 33,802 16,901 50,704 25,352 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814

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