3,430,367

31 × 239 × 463

3,430,367 factors as 31 × 239 × 463. Its 8 positive divisors give a proper-divisor sum of 133,153, so this integer is deficient. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 31 × 239 × 463

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,563,520

Proper Divisor Sum 133,153

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3430363 ← → #3430369

Radix Representation

Decimal	3430367
Binary	1101000101011111011111 (22 bits)
Octal	0o15053737
Hexadecimal	0x3457DF

Divisor Catalog (8)

1 31 239 463 7,409 14,353 110,657 3,430,367

Collatz Trajectory (221 steps to reach 1)

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

3,430,367 10,291,102 5,145,551 15,436,654 7,718,327 23,154,982 11,577,491 34,732,474 17,366,237 52,098,712 26,049,356 13,024,678 6,512,339 19,537,018 9,768,509 29,305,528 14,652,764 7,326,382 3,663,191 10,989,574 5,494,787 16,484,362 8,242,181 24,726,544 12,363,272 6,181,636 3,090,818 1,545,409 4,636,228 2,318,114 1,159,057 3,477,172 1,738,586 869,293 2,607,880 1,303,940 651,970 325,985 977,956 488,978 244,489 733,468 366,734 183,367 550,102 275,051 825,154 412,577 1,237,732 618,866 309,433 928,300 464,150 232,075 696,226 348,113 1,044,340 522,170 261,085 783,256

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