401,103

3² × 41 × 1087

Starting at 401,103, the Collatz iteration reaches 1 after 236 steps. The first transition is 1203310; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 41 × 1087

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 594,048

Proper Divisor Sum 192,945

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #401101 ← → #401113

Radix Representation

Decimal	401103
Binary	1100001111011001111 (19 bits)
Octal	0o1417317
Hexadecimal	0x61ECF

Divisor Catalog (12)

1 3 9 41 123 369 1,087 3,261 9,783 44,567 133,701 401,103

Collatz Trajectory (236 steps to reach 1)

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

401,103 1,203,310 601,655 1,804,966 902,483 2,707,450 1,353,725 4,061,176 2,030,588 1,015,294 507,647 1,522,942 761,471 2,284,414 1,142,207 3,426,622 1,713,311 5,139,934 2,569,967 7,709,902 3,854,951 11,564,854 5,782,427 17,347,282 8,673,641 26,020,924 13,010,462 6,505,231 19,515,694 9,757,847 29,273,542 14,636,771 43,910,314 21,955,157 65,865,472 32,932,736 16,466,368 8,233,184 4,116,592 2,058,296 1,029,148 514,574 257,287 771,862 385,931 1,157,794 578,897 1,736,692 868,346 434,173 1,302,520 651,260 325,630 162,815 488,446 244,223 732,670 366,335 1,099,006 549,503

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