4,007,575

5² × 11 × 13 × 19 × 59

Starting at 4,007,575, the Collatz iteration reaches 1 after 92 steps. The first transition is 12022726; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 13 × 19 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,249,600

Proper Divisor Sum 2,242,025

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4007573 ← → #4007593

Radix Representation

Decimal	4007575
Binary	1111010010011010010111 (22 bits)
Octal	0o17223227
Hexadecimal	0x3D2697

Divisor Catalog (48)

1 5 11 13 19 25 55 59 65 95 143 209 247 275 295 325 475 649 715 767 1,045 1,121 1,235 1,475 2,717 3,245 3,575 3,835 5,225 5,605 6,175 8,437 12,331 13,585 14,573 16,225 19,175 28,025 42,185 61,655 67,925 72,865 160,303 210,925 308,275 364,325 801,515 4,007,575

Collatz Trajectory (92 steps to reach 1)

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

4,007,575 12,022,726 6,011,363 18,034,090 9,017,045 27,051,136 13,525,568 6,762,784 3,381,392 1,690,696 845,348 422,674 211,337 634,012 317,006 158,503 475,510 237,755 713,266 356,633 1,069,900 534,950 267,475 802,426 401,213 1,203,640 601,820 300,910 150,455 451,366 225,683 677,050 338,525 1,015,576 507,788 253,894 126,947 380,842 190,421 571,264 285,632 142,816 71,408 35,704 17,852 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424

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