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Atlas › Integer Profiles › Node 96,150,028

96,150,028

22 × 13 × 17 × 23 × 4729
Abundant Even Composite

96,150,028 factors as 2^2 × 13 × 17 × 23 × 4729. Its 48 positive divisors give a proper-divisor sum of 104,099,252, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 17 × 23 × 4729
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 200,249,280
Proper Divisor Sum 104,099,252
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #96150007 ← → #96150059

Radix Representation

Decimal 96150028
Binary 101101110110010001000001100 (27 bits)
Octal 0o556621014
Hexadecimal 0x5BB220C

Divisor Catalog (48)

1 2 4 13 17 23 26 34 46 52 68 92 221 299 391 442 598 782 884 1,196 1,564 4,729 5,083 9,458 10,166 18,916 20,332 61,477 80,393 108,767 122,954 160,786 217,534 245,908 321,572 435,068 1,045,109 1,413,971 1,849,039 2,090,218 2,827,942 3,698,078 4,180,436 5,655,884 7,396,156 24,037,507 48,075,014 96,150,028

Collatz Trajectory (143 steps to reach 1)

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

96,150,028 48,075,014 24,037,507 72,112,522 36,056,261 108,168,784 54,084,392 27,042,196 13,521,098 6,760,549 20,281,648 10,140,824 5,070,412 2,535,206 1,267,603 3,802,810 1,901,405 5,704,216 2,852,108 1,426,054 713,027 2,139,082 1,069,541 3,208,624 1,604,312 802,156 401,078 200,539 601,618 300,809 902,428 451,214 225,607 676,822 338,411 1,015,234 507,617 1,522,852 761,426 380,713 1,142,140 571,070 285,535 856,606 428,303 1,284,910 642,455 1,927,366 963,683 2,891,050 1,445,525 4,336,576 2,168,288 1,084,144 542,072 271,036 135,518 67,759 203,278 101,639

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