9,513,440

2⁵ × 5 × 37 × 1607

9,513,440 has the prime decomposition 2^5 × 5 × 37 × 1607. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 37 × 1607

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,097,312

Proper Divisor Sum 13,583,872

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #9513437 ← → #9513451

Radix Representation

Decimal	9513440
Binary	100100010010100111100000 (24 bits)
Octal	0o44224740
Hexadecimal	0x9129E0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1,184 1,480 1,607 2,960 3,214 5,920 6,428 8,035 12,856 16,070 25,712 32,140 51,424 59,459 64,280 118,918 128,560 237,836 257,120 297,295 475,672 594,590 951,344 1,189,180 1,902,688 2,378,360 4,756,720 9,513,440

Collatz Trajectory (75 steps to reach 1)

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

9,513,440 4,756,720 2,378,360 1,189,180 594,590 297,295 891,886 445,943 1,337,830 668,915 2,006,746 1,003,373 3,010,120 1,505,060 752,530 376,265 1,128,796 564,398 282,199 846,598 423,299 1,269,898 634,949 1,904,848 952,424 476,212 238,106 119,053 357,160 178,580 89,290 44,645 133,936 66,968 33,484 16,742 8,371 25,114 12,557 37,672 18,836 9,418 4,709 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280

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