1,069,344

2⁵ × 3² × 47 × 79

1,069,344 factors as 2^5 × 3^2 × 47 × 79. Its 72 positive divisors give a proper-divisor sum of 2,075,616, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 47 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 3,144,960

Proper Divisor Sum 2,075,616

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1069307 ← → #1069349

Radix Representation

Decimal	1069344
Binary	100000101000100100000 (21 bits)
Octal	0o4050440
Hexadecimal	0x105120

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 79 94 96 141 144 158 188 237 282 288 316 376 423 474 564 632 711 752 846 948 1,128 1,264 1,422 1,504 1,692 1,896 2,256 2,528 2,844 3,384 3,713 3,792 4,512 5,688 6,768 7,426 7,584 11,139 11,376 13,536 14,852 22,278 22,752 29,704

Collatz Trajectory (147 steps to reach 1)

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

1,069,344 534,672 267,336 133,668 66,834 33,417 100,252 50,126 25,063 75,190 37,595 112,786 56,393 169,180 84,590 42,295 126,886 63,443 190,330 95,165 285,496 142,748 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255 609,766 304,883 914,650 457,325 1,371,976 685,988 342,994 171,497 514,492 257,246 128,623 385,870 192,935 578,806 289,403 868,210 434,105 1,302,316 651,158 325,579 976,738 488,369 1,465,108

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #1,069,343 Browse Full Index Next Integer #1,069,345 →