4,727,007

3² × 659 × 797

Starting at 4,727,007, the Collatz iteration reaches 1 after 123 steps. The first transition is 14181022; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 659 × 797

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,846,840

Proper Divisor Sum 2,119,833

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4726999 ← → #4727069

Radix Representation

Decimal	4727007
Binary	10010000010000011011111 (23 bits)
Octal	0o22020337
Hexadecimal	0x4820DF

Divisor Catalog (12)

1 3 9 659 797 1,977 2,391 5,931 7,173 525,223 1,575,669 4,727,007

Collatz Trajectory (123 steps to reach 1)

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

4,727,007 14,181,022 7,090,511 21,271,534 10,635,767 31,907,302 15,953,651 47,860,954 23,930,477 71,791,432 35,895,716 17,947,858 8,973,929 26,921,788 13,460,894 6,730,447 20,191,342 10,095,671 30,287,014 15,143,507 45,430,522 22,715,261 68,145,784 34,072,892 17,036,446 8,518,223 25,554,670 12,777,335 38,332,006 19,166,003 57,498,010 28,749,005 86,247,016 43,123,508 21,561,754 10,780,877 32,342,632 16,171,316 8,085,658 4,042,829 12,128,488 6,064,244 3,032,122 1,516,061 4,548,184 2,274,092 1,137,046 568,523 1,705,570 852,785 2,558,356 1,279,178 639,589 1,918,768 959,384 479,692 239,846 119,923 359,770 179,885

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