λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,248,976

29,248,976

24 × 17 × 191 × 563
Abundant Even Composite

29,248,976 factors as 2^4 × 17 × 191 × 563. Its 40 positive divisors give a proper-divisor sum of 31,175,728, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 191 × 563
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 60,424,704
Proper Divisor Sum 31,175,728
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #29248969 ← → #29248997

Radix Representation

Decimal 29248976
Binary 1101111100100110111010000 (25 bits)
Octal 0o157446720
Hexadecimal 0x1BE4DD0

Divisor Catalog (40)

1 2 4 8 16 17 34 68 136 191 272 382 563 764 1,126 1,528 2,252 3,056 3,247 4,504 6,494 9,008 9,571 12,988 19,142 25,976 38,284 51,952 76,568 107,533 153,136 215,066 430,132 860,264 1,720,528 1,828,061 3,656,122 7,312,244 14,624,488 29,248,976

Collatz Trajectory (100 steps to reach 1)

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

29,248,976 14,624,488 7,312,244 3,656,122 1,828,061 5,484,184 2,742,092 1,371,046 685,523 2,056,570 1,028,285 3,084,856 1,542,428 771,214 385,607 1,156,822 578,411 1,735,234 867,617 2,602,852 1,301,426 650,713 1,952,140 976,070 488,035 1,464,106 732,053 2,196,160 1,098,080 549,040 274,520 137,260 68,630 34,315 102,946 51,473 154,420 77,210 38,605 115,816 57,908 28,954 14,477 43,432 21,716 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #29,248,975 Browse Full Index Next Integer #29,248,977 →