1,112,745

3 × 5 × 31 × 2393

1,112,745 factors as 3 × 5 × 31 × 2393. Its 16 positive divisors give a proper-divisor sum of 725,847, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 2393

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,838,592

Proper Divisor Sum 725,847

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1112737 ← → #1112747

Radix Representation

Decimal	1112745
Binary	100001111101010101001 (21 bits)
Octal	0o4175251
Hexadecimal	0x10FAA9

Divisor Catalog (16)

1 3 5 15 31 93 155 465 2,393 7,179 11,965 35,895 74,183 222,549 370,915 1,112,745

Collatz Trajectory (165 steps to reach 1)

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

1,112,745 3,338,236 1,669,118 834,559 2,503,678 1,251,839 3,755,518 1,877,759 5,633,278 2,816,639 8,449,918 4,224,959 12,674,878 6,337,439 19,012,318 9,506,159 28,518,478 14,259,239 42,777,718 21,388,859 64,166,578 32,083,289 96,249,868 48,124,934 24,062,467 72,187,402 36,093,701 108,281,104 54,140,552 27,070,276 13,535,138 6,767,569 20,302,708 10,151,354 5,075,677 15,227,032 7,613,516 3,806,758 1,903,379 5,710,138 2,855,069 8,565,208 4,282,604 2,141,302 1,070,651 3,211,954 1,605,977 4,817,932 2,408,966 1,204,483 3,613,450 1,806,725 5,420,176 2,710,088 1,355,044 677,522 338,761 1,016,284 508,142 254,071

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