λ
Harmonic Matrix

8,792,597

11 × 29 × 43 × 641
Deficient Odd Composite

8,792,597 has digital root 2. The neighboring primes are 8792551 and 8792599; its proper-divisor sum differs from the starting integer by -7,415,914.

Prime Factor Structure

Factorization String 11 × 29 × 43 × 641
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,169,280
Proper Divisor Sum 1,376,683
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #8792551 ← → #8792599

Radix Representation

Decimal 8792597
Binary 100001100010101000010101 (24 bits)
Octal 0o41425025
Hexadecimal 0x862A15

Divisor Catalog (16)

1 11 29 43 319 473 641 1,247 7,051 13,717 18,589 27,563 204,479 303,193 799,327 8,792,597

Collatz Trajectory (62 steps to reach 1)

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

8,792,597 26,377,792 13,188,896 6,594,448 3,297,224 1,648,612 824,306 412,153 1,236,460 618,230 309,115 927,346 463,673 1,391,020 695,510 347,755 1,043,266 521,633 1,564,900 782,450 391,225 1,173,676 586,838 293,419 880,258 440,129 1,320,388 660,194 330,097 990,292 495,146 247,573 742,720 371,360 185,680 92,840 46,420 23,210 11,605 34,816 17,408 8,704 4,352 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8

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