4,561,007

11 × 19 × 139 × 157

Starting at 4,561,007, the Collatz iteration reaches 1 after 136 steps. The first transition is 13683022; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 19 × 139 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,308,800

Proper Divisor Sum 747,793

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4561003 ← → #4561009

Radix Representation

Decimal	4561007
Binary	10001011001100001101111 (23 bits)
Octal	0o21314157
Hexadecimal	0x45986F

Divisor Catalog (16)

1 11 19 139 157 209 1,529 1,727 2,641 2,983 21,823 29,051 32,813 240,053 414,637 4,561,007

Collatz Trajectory (136 steps to reach 1)

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

4,561,007 13,683,022 6,841,511 20,524,534 10,262,267 30,786,802 15,393,401 46,180,204 23,090,102 11,545,051 34,635,154 17,317,577 51,952,732 25,976,366 12,988,183 38,964,550 19,482,275 58,446,826 29,223,413 87,670,240 43,835,120 21,917,560 10,958,780 5,479,390 2,739,695 8,219,086 4,109,543 12,328,630 6,164,315 18,492,946 9,246,473 27,739,420 13,869,710 6,934,855 20,804,566 10,402,283 31,206,850 15,603,425 46,810,276 23,405,138 11,702,569 35,107,708 17,553,854 8,776,927 26,330,782 13,165,391 39,496,174 19,748,087 59,244,262 29,622,131 88,866,394 44,433,197 133,299,592 66,649,796 33,324,898 16,662,449 49,987,348 24,993,674 12,496,837 37,490,512

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