4,724,013

3 × 7 × 29 × 7757

Starting at 4,724,013, the Collatz iteration reaches 1 after 100 steps. The first transition is 14172040; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 29 × 7757

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,447,680

Proper Divisor Sum 2,723,667

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4723987 ← → #4724047

Radix Representation

Decimal	4724013
Binary	10010000001010100101101 (23 bits)
Octal	0o22012455
Hexadecimal	0x48152D

Divisor Catalog (16)

1 3 7 21 29 87 203 609 7,757 23,271 54,299 162,897 224,953 674,859 1,574,671 4,724,013

Collatz Trajectory (100 steps to reach 1)

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

4,724,013 14,172,040 7,086,020 3,543,010 1,771,505 5,314,516 2,657,258 1,328,629 3,985,888 1,992,944 996,472 498,236 249,118 124,559 373,678 186,839 560,518 280,259 840,778 420,389 1,261,168 630,584 315,292 157,646 78,823 236,470 118,235 354,706 177,353 532,060 266,030 133,015 399,046 199,523 598,570 299,285 897,856 448,928 224,464 112,232 56,116 28,058 14,029 42,088 21,044 10,522 5,261 15,784 7,892 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139

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