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Atlas › Integer Profiles › Node 15,771,584

15,771,584

26 × 263 × 937
Deficient Even Composite

15,771,584 factors as 2^6 × 263 × 937. Its 28 positive divisors give a proper-divisor sum of 15,677,680, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^6 × 263 × 937
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 31,449,264
Proper Divisor Sum 15,677,680
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #15771571 ← → #15771589

Radix Representation

Decimal 15771584
Binary 111100001010011111000000 (24 bits)
Octal 0o74123700
Hexadecimal 0xF0A7C0

Divisor Catalog (28)

1 2 4 8 16 32 64 263 526 937 1,052 1,874 2,104 3,748 4,208 7,496 8,416 14,992 16,832 29,984 59,968 246,431 492,862 985,724 1,971,448 3,942,896 7,885,792 15,771,584

Collatz Trajectory (148 steps to reach 1)

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

15,771,584 7,885,792 3,942,896 1,971,448 985,724 492,862 246,431 739,294 369,647 1,108,942 554,471 1,663,414 831,707 2,495,122 1,247,561 3,742,684 1,871,342 935,671 2,807,014 1,403,507 4,210,522 2,105,261 6,315,784 3,157,892 1,578,946 789,473 2,368,420 1,184,210 592,105 1,776,316 888,158 444,079 1,332,238 666,119 1,998,358 999,179 2,997,538 1,498,769 4,496,308 2,248,154 1,124,077 3,372,232 1,686,116 843,058 421,529 1,264,588 632,294 316,147 948,442 474,221 1,422,664 711,332 355,666 177,833 533,500 266,750 133,375 400,126 200,063 600,190

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