562,742

2 × 19 × 59 × 251

Starting at 562,742, the Collatz iteration reaches 1 after 107 steps. The first transition is 281371; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 59 × 251

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 907,200

Proper Divisor Sum 344,458

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #562739 ← → #562753

Radix Representation

Decimal	562742
Binary	10001001011000110110 (20 bits)
Octal	0o2113066
Hexadecimal	0x89636

Divisor Catalog (16)

1 2 19 38 59 118 251 502 1,121 2,242 4,769 9,538 14,809 29,618 281,371 562,742

Collatz Trajectory (107 steps to reach 1)

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

562,742 281,371 844,114 422,057 1,266,172 633,086 316,543 949,630 474,815 1,424,446 712,223 2,136,670 1,068,335 3,205,006 1,602,503 4,807,510 2,403,755 7,211,266 3,605,633 10,816,900 5,408,450 2,704,225 8,112,676 4,056,338 2,028,169 6,084,508 3,042,254 1,521,127 4,563,382 2,281,691 6,845,074 3,422,537 10,267,612 5,133,806 2,566,903 7,700,710 3,850,355 11,551,066 5,775,533 17,326,600 8,663,300 4,331,650 2,165,825 6,497,476 3,248,738 1,624,369 4,873,108 2,436,554 1,218,277 3,654,832 1,827,416 913,708 456,854 228,427 685,282 342,641 1,027,924 513,962 256,981 770,944

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