463,574

2 × 31 × 7477

Starting at 463,574, the Collatz iteration reaches 1 after 107 steps. The first transition is 231787; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 31 × 7477

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 717,888

Proper Divisor Sum 254,314

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #463549 ← → #463579

Radix Representation

Decimal	463574
Binary	1110001001011010110 (19 bits)
Octal	0o1611326
Hexadecimal	0x712D6

Divisor Catalog (8)

1 2 31 62 7,477 14,954 231,787 463,574

Collatz Trajectory (107 steps to reach 1)

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

463,574 231,787 695,362 347,681 1,043,044 521,522 260,761 782,284 391,142 195,571 586,714 293,357 880,072 440,036 220,018 110,009 330,028 165,014 82,507 247,522 123,761 371,284 185,642 92,821 278,464 139,232 69,616 34,808 17,404 8,702 4,351 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648

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